3920614405056 has 1120 divisors, whose sum is σ = 13419471491712. Its totient is φ = 1124641013760.

The previous prime is 3920614405021. The next prime is 3920614405063. The reversal of 3920614405056 is 6505044160293.

3920614405056 is a `hidden beast` number, since 3 + 9 + 20 + 614 + 4 + 0 + 5 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×3920614405056² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 4574812180 + ... + 4574813036.

Almost surely, 2^{3920614405056} is an apocalyptic number.

3920614405056 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 3920614405056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709735745856).

3920614405056 is an abundant number, since it is smaller than the sum of its proper divisors (9498857086656).

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

3920614405056 is a wasteful number, since it uses less digits than its factorization.

3920614405056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 3920614405056 in words is "three trillion, nine hundred twenty billion, six hundred fourteen million, four hundred five thousand, fifty-six".