214040313504 has 36 divisors (see below), whose sum is σ = 608677142346. Its totient is φ = 71346771072.

The previous prime is 214040313467. The next prime is 214040313523. The reversal of 214040313504 is 405313040412.

It is a happy number.

214040313504 is a `hidden beast` number, since 2 + 140 + 4 + 0 + 3 + 13 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 213943251600 + 97061904 = 462540^2 + 9852^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 371597479 + ... + 371598054.

Almost surely, 2^214040313504 is an apocalyptic number.

214040313504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214040313504 is an abundant number, since it is smaller than the sum of its proper divisors (394636828842).

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

214040313504 is a wasteful number, since it uses less digits than its factorization.

214040313504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743195549 (or 743195538 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 214040313504 its reverse (405313040412), we get a palindrome (619353353916).

The spelling of 214040313504 in words is "two hundred fourteen billion, forty million, three hundred thirteen thousand, five hundred four".