406134431604 has 72 divisors (see below), whose sum is σ = 1147262276160. Its totient is φ = 120069302400.

The previous prime is 406134431597. The next prime is 406134431639.

406134431604 is a `hidden beast` number, since 4 + 0 + 6 + 1 + 3 + 4 + 43 + 1 + 604 = 666.

406134431604 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12490984 + ... + 12523455.

It is an arithmetic number, because the mean of its divisors is an integer number (15934198280).

Almost surely, 2^406134431604 is an apocalyptic number.

406134431604 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

406134431604 is an abundant number, since it is smaller than the sum of its proper divisors (741127844556).

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

406134431604 is a wasteful number, since it uses less digits than its factorization.

406134431604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25014501 (or 25014496 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 406134 and 431604, that added together give a palindrome (837738).

The spelling of 406134431604 in words is "four hundred six billion, one hundred thirty-four million, four hundred thirty-one thousand, six hundred four".