405963584076960 has 576 divisors, whose sum is σ = 1705176850261248. Its totient is φ = 85647334735872.

The previous prime is 405963584076929. The next prime is 405963584076979. The reversal of 405963584076960 is 69670485369504.

405963584076960 is a `hidden beast` number, since 4 + 0 + 59 + 6 + 3 + 58 + 407 + 69 + 60 = 666.

It is a super-2 number, since 2×405963584076960² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1829600584 + ... + 1829822456.

It is an arithmetic number, because the mean of its divisors is an integer number (2960376476148).

Almost surely, 2^{405963584076960} is an apocalyptic number.

405963584076960 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 405963584076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852588425130624).

405963584076960 is an abundant number, since it is smaller than the sum of its proper divisors (1299213266184288).

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

405963584076960 is a wasteful number, since it uses less digits than its factorization.

405963584076960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235877 (or 235866 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 405963584076960 in words is "four hundred five trillion, nine hundred sixty-three billion, five hundred eighty-four million, seventy-six thousand, nine hundred sixty".