405401105961 has 48 divisors (see below), whose sum is σ = 609449398272. Its totient is φ = 259396581600.

The previous prime is 405401105933. The next prime is 405401106049. The reversal of 405401105961 is 169501104504.

405401105961 is a `hidden beast` number, since 4 + 0 + 54 + 0 + 1 + 10 + 596 + 1 = 666.

It is not a de Polignac number, because 405401105961 - 2⁵ = 405401105929 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (405401105261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117064716 + ... + 117068178.

It is an arithmetic number, because the mean of its divisors is an integer number (12696862464).

Almost surely, 2^405401105961 is an apocalyptic number.

It is an amenable number.

405401105961 is a deficient number, since it is larger than the sum of its proper divisors (204048292311).

405401105961 is a wasteful number, since it uses less digits than its factorization.

405401105961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6834 (or 6831 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 405401105961 in words is "four hundred five billion, four hundred one million, one hundred five thousand, nine hundred sixty-one".