405161100416 has 32 divisors (see below), whose sum is σ = 809190121980. Its totient is φ = 202070246400.

The previous prime is 405161100397. The next prime is 405161100431. The reversal of 405161100416 is 614001161504.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 394253386816 + 10907713600 = 627896^2 + 104440^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 3935735 + ... + 4037366.

Almost surely, 2^405161100416 is an apocalyptic number.

It is an amenable number.

405161100416 is a deficient number, since it is larger than the sum of its proper divisors (404029021564).

405161100416 is an equidigital number, since it uses as much as digits as its factorization.

405161100416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7973512 (or 7973500 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The spelling of 405161100416 in words is "four hundred five billion, one hundred sixty-one million, one hundred thousand, four hundred sixteen".