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4440432421040 = 2457111742402907
BaseRepresentation
bin100000010011101111001…
…1001011010100010110000
3120201111112100222212120112
41000213132121122202300
51040223001144433130
613235523445200452
7635545024550510
oct100473631324260
916644470885515
104440432421040
1114621a4381370
125b8703a00128
13262966c6c865
14114cbd2b3840
157a78c305495
hex409de65a8b0

4440432421040 has 160 divisors (see below), whose sum is σ = 13628633854464. Its totient is φ = 1302617272320.

The previous prime is 4440432421031. The next prime is 4440432421147. The reversal of 4440432421040 is 401242340444.

It is a junction number, because it is equal to n+sod(n) for n = 4440432420988 and 4440432421006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21096734 + ... + 21306173.

Almost surely, 24440432421040 is an apocalyptic number.

4440432421040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4440432421040 is an abundant number, since it is smaller than the sum of its proper divisors (9188201433424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4440432421040 is a wasteful number, since it uses less digits than its factorization.

4440432421040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42402955 (or 42402949 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 4440432421040 its reverse (401242340444), we get a palindrome (4841674761484).

The spelling of 4440432421040 in words is "four trillion, four hundred forty billion, four hundred thirty-two million, four hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 17 20 22 28 34 35 40 44 55 56 68 70 77 80 85 88 110 112 119 136 140 154 170 176 187 220 238 272 280 308 340 374 385 440 476 560 595 616 680 748 770 880 935 952 1190 1232 1309 1360 1496 1540 1870 1904 2380 2618 2992 3080 3740 4760 5236 6160 6545 7480 9520 10472 13090 14960 20944 26180 52360 104720 42402907 84805814 169611628 212014535 296820349 339223256 424029070 466431977 593640698 678446512 720849419 848058140 932863954 1187281396 1441698838 1484101745 1696116280 1865727908 2332159885 2374562792 2883397676 2968203490 3265023839 3392232560 3604247095 3731455816 4664319770 4749125584 5045945933 5766795352 5936406980 6530047678 7208494190 7462911632 7929343609 9328639540 10091891866 11533590704 11872813960 13060095356 14416988380 15858687218 16325119195 18657279080 20183783732 23745627920 25229729665 26120190712 28833976760 31717374436 32650238390 37314558160 39646718045 40367567464 50459459330 52240381424 55505405263 57667953520 63434748872 65300476780 79293436090 80735134928 100918918660 111010810526 126869497744 130600953560 158586872180 201837837320 222021621052 261201907120 277527026315 317173744360 403675674640 444043242104 555054052630 634347488720 888086484208 1110108105260 2220216210520 4440432421040