214400004412 has 48 divisors (see below), whose sum is σ = 415195925760. Its totient is φ = 96053731200.

The previous prime is 214400004373. The next prime is 214400004437.

214400004412 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13547128 + ... + 13562944.

It is an arithmetic number, because the mean of its divisors is an integer number (8649915120).

Almost surely, 2^214400004412 is an apocalyptic number.

214400004412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214400004412 is a deficient number, since it is larger than the sum of its proper divisors (200795921348).

214400004412 is a wasteful number, since it uses less digits than its factorization.

214400004412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20242 (or 20240 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

It can be divided in two parts, 21440000 and 4412, that added together give a palindrome (21444412).

The spelling of 214400004412 in words is "two hundred fourteen billion, four hundred million, four thousand, four hundred twelve".