405104405553 has 24 divisors (see below), whose sum is σ = 585698841000. Its totient is φ = 269816811264.

The previous prime is 405104405539. The next prime is 405104405597. The reversal of 405104405553 is 355504401504.

405104405553 is a `hidden beast` number, since 4 + 0 + 510 + 4 + 40 + 55 + 53 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 173929034304 + 231175371249 = 417048^2 + 480807^2 .

It is not a de Polignac number, because 405104405553 - 2³² = 400809438257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (405104405513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56821293 + ... + 56828421.

It is an arithmetic number, because the mean of its divisors is an integer number (24404118375).

Almost surely, 2^405104405553 is an apocalyptic number.

It is an amenable number.

405104405553 is a deficient number, since it is larger than the sum of its proper divisors (180594435447).

405104405553 is a wasteful number, since it uses less digits than its factorization.

405104405553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12161 (or 12158 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 405104405553 in words is "four hundred five billion, one hundred four million, four hundred five thousand, five hundred fifty-three".