405938633130 has 64 divisors (see below), whose sum is σ = 1091026759680. Its totient is φ = 107397928512.

The previous prime is 405938633117. The next prime is 405938633137. The reversal of 405938633130 is 31336839504.

405938633130 is a `hidden beast` number, since 4 + 0 + 5 + 9 + 3 + 8 + 633 + 1 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (405938633137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5884909 + ... + 5953488.

It is an arithmetic number, because the mean of its divisors is an integer number (17047293120).

Almost surely, 2^405938633130 is an apocalyptic number.

405938633130 is an abundant number, since it is smaller than the sum of its proper divisors (685088126550).

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

405938633130 is a wasteful number, since it uses less digits than its factorization.

405938633130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11838540 (or 11838534 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 405938633130 in words is "four hundred five billion, nine hundred thirty-eight million, six hundred thirty-three thousand, one hundred thirty".