3941290918656 has 1296 divisors, whose sum is σ = 14961864153600. Its totient is φ = 1025488429056.

The previous prime is 3941290918601. The next prime is 3941290918699. The reversal of 3941290918656 is 6568190921493.

3941290918656 is a `hidden beast` number, since 3 + 9 + 412 + 9 + 0 + 91 + 86 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3941290918593 and 3941290918602.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3130492555 + ... + 3130493813.

Almost surely, 2^{3941290918656} is an apocalyptic number.

3941290918656 is a gapful number since it is divisible by the number (36) 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 3941290918656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480932076800).

3941290918656 is an abundant number, since it is smaller than the sum of its proper divisors (11020573234944).

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

3941290918656 is a wasteful number, since it uses less digits than its factorization.

3941290918656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 3941290918656 in words is "three trillion, nine hundred forty-one billion, two hundred ninety million, nine hundred eighteen thousand, six hundred fifty-six".