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1040402010440 = 2351323320994091
BaseRepresentation
bin11110010001111001100…
…10101101000101001000
310200110110101221012122002
433020330302231011020
5114021220403313230
62113542025450132
7135111063113642
oct17107462550510
93613411835562
101040402010440
113712608a2371
12149778640948
13771567147b0
14384da17d892
151c0e36ac545
hexf23ccad148

1040402010440 has 128 divisors (see below), whose sum is σ = 2533619088000. Its totient is φ = 382224046080.

The previous prime is 1040402010433. The next prime is 1040402010463. The reversal of 1040402010440 is 440102040401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 254312795 + ... + 254316885.

It is an arithmetic number, because the mean of its divisors is an integer number (19793899125).

Almost surely, 21040402010440 is an apocalyptic number.

1040402010440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040402010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266809544000).

1040402010440 is an abundant number, since it is smaller than the sum of its proper divisors (1493217077560).

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

1040402010440 is a wasteful number, since it uses less digits than its factorization.

1040402010440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6447 (or 6443 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 1040402010440 its reverse (440102040401), we get a palindrome (1480504050841).

The spelling of 1040402010440 in words is "one trillion, forty billion, four hundred two million, ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 233 260 466 520 932 1165 1864 2099 2330 3029 4091 4198 4660 6058 8182 8396 9320 10495 12116 15145 16364 16792 20455 20990 24232 27287 30290 32728 40910 41980 53183 54574 60580 81820 83960 106366 109148 121160 136435 163640 212732 218296 265915 272870 425464 489067 531830 545740 953203 978134 1063660 1091480 1906406 1956268 2127320 2445335 3812812 3912536 4766015 4890670 6357871 7625624 8587009 9532030 9781340 12391639 12715742 17174018 19064060 19562680 24783278 25431484 31789355 34348036 38128120 42935045 49566556 50862968 61958195 63578710 68696072 85870090 99133112 111631117 123916390 127157420 171740180 223262234 247832780 254314840 343480360 446524468 495665560 558155585 893048936 1116311170 2000773097 2232622340 4001546194 4465244680 8003092388 10003865485 16006184776 20007730970 26010050261 40015461940 52020100522 80030923880 104040201044 130050251305 208080402088 260100502610 520201005220 1040402010440