400210012004 has 48 divisors (see below), whose sum is σ = 810209252160. Its totient is φ = 170952821760.

The previous prime is 400210012003. The next prime is 400210012031.

400210012004 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 400210012004.

It is not an unprimeable number, because it can be changed into a prime (400210012003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86984 + ... + 898880.

It is an arithmetic number, because the mean of its divisors is an integer number (16879359420).

Almost surely, 2^400210012004 is an apocalyptic number.

400210012004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400210012004 is an abundant number, since it is smaller than the sum of its proper divisors (409999240156).

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

400210012004 is a wasteful number, since it uses less digits than its factorization.

400210012004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812588 (or 812586 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

It can be divided in two parts, 4002100 and 12004, that added together give a palindrome (4014104).

The spelling of 400210012004 in words is "four hundred billion, two hundred ten million, twelve thousand, four".