214057406000 has 80 divisors (see below), whose sum is σ = 521542520928. Its totient is φ = 84969248000.

The previous prime is 214057405979. The next prime is 214057406039. The reversal of 214057406000 is 604750412.

It is a tau number, because it is divible by the number of its divisors (80).

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, 146507 + ... + 670506.

Almost surely, 2^214057406000 is an apocalyptic number.

214057406000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214057406000 is an abundant number, since it is smaller than the sum of its proper divisors (307485114928).

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

214057406000 is a wasteful number, since it uses less digits than its factorization.

214057406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817167 (or 817151 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The spelling of 214057406000 in words is "two hundred fourteen billion, fifty-seven million, four hundred six thousand".