271438916004 has 81 divisors (see below), whose sum is σ = 696506782699. Its totient is φ = 89132337840.

The previous prime is 271438915991. The next prime is 271438916027. The reversal of 271438916004 is 400619834172.

The square root of 271438916004 is 520998.

It is a perfect power (a square), and thus also a powerful number.

271438916004 is a `hidden beast` number, since 2 + 7 + 1 + 4 + 38 + 9 + 1 + 600 + 4 = 666.

271438916004 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 221944537 + ... + 221945759.

Almost surely, 2^271438916004 is an apocalyptic number.

271438916004 is the 520998-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271438916004

271438916004 is an abundant number, since it is smaller than the sum of its proper divisors (425067866695).

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

271438916004 is an equidigital number, since it uses as much as digits as its factorization.

271438916004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 271438916004 in words is "two hundred seventy-one billion, four hundred thirty-eight million, nine hundred sixteen thousand, four".