214425511120 has 40 divisors (see below), whose sum is σ = 527865158664. Its totient is φ = 80724897792.

The previous prime is 214425511117. The next prime is 214425511187. The reversal of 214425511120 is 21115524412.

It can be written as a sum of positive squares in 4 ways, for example, as 56231585424 + 158193925696 = 237132^2 + 397736^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78831549 + ... + 78834268.

Almost surely, 2^214425511120 is an apocalyptic number.

214425511120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214425511120 is an abundant number, since it is smaller than the sum of its proper divisors (313439647544).

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

214425511120 is a wasteful number, since it uses less digits than its factorization.

214425511120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157665847 (or 157665841 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The spelling of 214425511120 in words is "two hundred fourteen billion, four hundred twenty-five million, five hundred eleven thousand, one hundred twenty".