401634436104 has 48 divisors (see below), whose sum is σ = 1186647199920. Its totient is φ = 121707404640.

The previous prime is 401634436067. The next prime is 401634436111.

401634436104 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 34 + 4 + 3 + 610 + 4 = 666.

401634436104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401634436104² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 253556302 + ... + 253557885.

It is an arithmetic number, because the mean of its divisors is an integer number (24721816665).

Almost surely, 2^401634436104 is an apocalyptic number.

401634436104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

401634436104 is an abundant number, since it is smaller than the sum of its proper divisors (785012763816).

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

401634436104 is a wasteful number, since it uses less digits than its factorization.

401634436104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507114210 (or 507114203 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, 401634 and 436104, that added together give a palindrome (837738).

The spelling of 401634436104 in words is "four hundred one billion, six hundred thirty-four million, four hundred thirty-six thousand, one hundred four".