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4021441413440 = 265113793014393
BaseRepresentation
bin111010100001010000100…
…101100100000101000000
3112020110001011111100200212
4322201100211210011000
51011341403000212230
612315231421533252
7563353032005423
oct72412045440500
915213034440625
104021441413440
111310535925970
1254b470714228
132322b2cc1b19
14dc8d2c379ba
156e91854b895
hex3a850964140

4021441413440 has 112 divisors (see below), whose sum is σ = 10474175119680. Its totient is φ = 1458483425280.

The previous prime is 4021441413439. The next prime is 4021441413533. The reversal of 4021441413440 is 443141441204.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4021441413397 and 4021441413406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173117 + ... + 2841276.

Almost surely, 24021441413440 is an apocalyptic number.

4021441413440 is a gapful number since it is divisible by the number (40) 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 4021441413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237087559840).

4021441413440 is an abundant number, since it is smaller than the sum of its proper divisors (6452733706240).

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

4021441413440 is a wasteful number, since it uses less digits than its factorization.

4021441413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014800 (or 3014790 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 4021441413440 its reverse (443141441204), we get a palindrome (4464582854644).

The spelling of 4021441413440 in words is "four trillion, twenty-one billion, four hundred forty-one million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 379 440 704 758 880 1516 1760 1895 3032 3520 3790 4169 6064 7580 8338 12128 15160 16676 20845 24256 30320 33352 41690 60640 66704 83380 121280 133408 166760 266816 333520 667040 1334080 3014393 6028786 12057572 15071965 24115144 30143930 33158323 48230288 60287860 66316646 96460576 120575720 132633292 165791615 192921152 241151440 265266584 331583230 482302880 530533168 663166460 964605760 1061066336 1142454947 1326332920 2122132672 2284909894 2652665840 4569819788 5305331680 5712274735 9139639576 10610663360 11424549470 12567004417 18279279152 22849098940 25134008834 36558558304 45698197880 50268017668 62835022085 73117116608 91396395760 100536035336 125670044170 182792791520 201072070672 251340088340 365585583040 402144141344 502680176680 804288282688 1005360353360 2010720706720 4021441413440