214341414960 has 80 divisors (see below), whose sum is σ = 665812028160. Its totient is φ = 57041268480.

The previous prime is 214341414929. The next prime is 214341414971. The reversal of 214341414960 is 69414143412.

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, 791620 + ... + 1027299.

It is an arithmetic number, because the mean of its divisors is an integer number (8322650352).

Almost surely, 2^214341414960 is an apocalyptic number.

214341414960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214341414960 is an abundant number, since it is smaller than the sum of its proper divisors (451470613200).

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

214341414960 is a wasteful number, since it uses less digits than its factorization.

214341414960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819426 (or 1819420 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 214341414960 in words is "two hundred fourteen billion, three hundred forty-one million, four hundred fourteen thousand, nine hundred sixty".