405998116992 has 384 divisors, whose sum is σ = 1381544760960. Its totient is φ = 117572124672.

The previous prime is 405998116963. The next prime is 405998117033. The reversal of 405998116992 is 299611899504.

405998116992 is a `hidden beast` number, since 405 + 9 + 9 + 81 + 1 + 69 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6844453 + ... + 6903515.

It is an arithmetic number, because the mean of its divisors is an integer number (3597772815).

Almost surely, 2^405998116992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405998116992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690772380480).

405998116992 is an abundant number, since it is smaller than the sum of its proper divisors (975546643968).

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

405998116992 is a wasteful number, since it uses less digits than its factorization.

405998116992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59122 (or 59098 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 63.

The spelling of 405998116992 in words is "four hundred five billion, nine hundred ninety-eight million, one hundred sixteen thousand, nine hundred ninety-two".