741269640443904 has 1536 divisors, whose sum is σ = 2660760700416000. Its totient is φ = 200881078272000.

The previous prime is 741269640443819. The next prime is 741269640443993. The reversal of 741269640443904 is 409344046962147.

741269640443904 is a `hidden beast` number, since 7 + 4 + 1 + 2 + 69 + 6 + 40 + 443 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×741269640443904² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69924496204 + ... + 69924506804.

It is an arithmetic number, because the mean of its divisors is an integer number (1732266081000).

Almost surely, 2^{741269640443904} is an apocalyptic number.

741269640443904 is a gapful number since it is divisible by the number (74) 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 741269640443904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330380350208000).

741269640443904 is an abundant number, since it is smaller than the sum of its proper divisors (1919491059972096).

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

741269640443904 is a wasteful number, since it uses less digits than its factorization.

741269640443904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10932 (or 10906 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 741269640443904 in words is "seven hundred forty-one trillion, two hundred sixty-nine billion, six hundred forty million, four hundred forty-three thousand, nine hundred four".