214110431120 has 20 divisors (see below), whose sum is σ = 497806752540. Its totient is φ = 85644172416.

The previous prime is 214110431111. The next prime is 214110431141. The reversal of 214110431120 is 21134011412.

It can be written as a sum of positive squares in 2 ways, for example, as 109100732416 + 105009698704 = 330304^2 + 324052^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 214110431092 and 214110431101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1338190115 + ... + 1338190274.

It is an arithmetic number, because the mean of its divisors is an integer number (24890337627).

Almost surely, 2^214110431120 is an apocalyptic number.

214110431120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214110431120 is an abundant number, since it is smaller than the sum of its proper divisors (283696321420).

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

214110431120 is a wasteful number, since it uses less digits than its factorization.

214110431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676380402 (or 2676380396 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 214110431120 its reverse (21134011412), we get a palindrome (235244442532).

The spelling of 214110431120 in words is "two hundred fourteen billion, one hundred ten million, four hundred thirty-one thousand, one hundred twenty".