214304689440 has 96 divisors (see below), whose sum is σ = 750066428160. Its totient is φ = 57147916032.

The previous prime is 214304689387. The next prime is 214304689453. The reversal of 214304689440 is 44986403412.

214304689440 is a `hidden beast` number, since 2 + 143 + 0 + 4 + 68 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 24799464 + ... + 24808103.

It is an arithmetic number, because the mean of its divisors is an integer number (7813191960).

Almost surely, 2^214304689440 is an apocalyptic number.

214304689440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214304689440 is an abundant number, since it is smaller than the sum of its proper divisors (535761738720).

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

214304689440 is a wasteful number, since it uses less digits than its factorization.

214304689440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49607591 (or 49607577 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 214304689440 in words is "two hundred fourteen billion, three hundred four million, six hundred eighty-nine thousand, four hundred forty".