405960056712 has 320 divisors, whose sum is σ = 1377772830720. Its totient is φ = 109020598272.

The previous prime is 405960056699. The next prime is 405960056783. The reversal of 405960056712 is 217650069504.

405960056712 is a `hidden beast` number, since 4 + 0 + 596 + 0 + 0 + 56 + 7 + 1 + 2 = 666.

It is a super-2 number, since 2×405960056712² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66081913 + ... + 66088055.

It is an arithmetic number, because the mean of its divisors is an integer number (4305540096).

Almost surely, 2^405960056712 is an apocalyptic number.

405960056712 is a gapful number since it is divisible by the number (42) 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 405960056712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688886415360).

405960056712 is an abundant number, since it is smaller than the sum of its proper divisors (971812774008).

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

405960056712 is a wasteful number, since it uses less digits than its factorization.

405960056712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7042 (or 7029 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 405960056712 in words is "four hundred five billion, nine hundred sixty million, fifty-six thousand, seven hundred twelve".