214332271920 has 240 divisors, whose sum is σ = 793197044640. Its totient is φ = 51531669504.

The previous prime is 214332271919. The next prime is 214332271927. The reversal of 214332271920 is 29172233412.

214332271920 is a `hidden beast` number, since 2 + 143 + 322 + 7 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (214332271927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136216 + ... + 668744.

It is an arithmetic number, because the mean of its divisors is an integer number (3304987686).

Almost surely, 2^214332271920 is an apocalyptic number.

214332271920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214332271920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396598522320).

214332271920 is an abundant number, since it is smaller than the sum of its proper divisors (578864772720).

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

214332271920 is a wasteful number, since it uses less digits than its factorization.

214332271920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532604 (or 532595 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 214332271920 in words is "two hundred fourteen billion, three hundred thirty-two million, two hundred seventy-one thousand, nine hundred twenty".