400213312004 has 24 divisors (see below), whose sum is σ = 764137112256. Its totient is φ = 181892876000.

The previous prime is 400213311983. The next prime is 400213312021.

400213312004 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×400213312004³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190367 + ... + 914694.

It is an arithmetic number, because the mean of its divisors is an integer number (31839046344).

Almost surely, 2^400213312004 is an apocalyptic number.

400213312004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400213312004 is a deficient number, since it is larger than the sum of its proper divisors (363923800252).

400213312004 is a wasteful number, since it uses less digits than its factorization.

400213312004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113307 (or 1113305 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 400213 and 312004, that added together give a palindrome (712217).

The spelling of 400213312004 in words is "four hundred billion, two hundred thirteen million, three hundred twelve thousand, four".