314132002401 has 16 divisors (see below), whose sum is σ = 480767638400. Its totient is φ = 178720138368.

The previous prime is 314132002391. The next prime is 314132002433. The reversal of 314132002401 is 104200231413.

It is not a de Polignac number, because 314132002401 - 2¹⁴ = 314131986017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (314132002451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32656036 + ... + 32665653.

It is an arithmetic number, because the mean of its divisors is an integer number (30047977400).

Almost surely, 2^314132002401 is an apocalyptic number.

It is an amenable number.

314132002401 is a deficient number, since it is larger than the sum of its proper divisors (166635635999).

314132002401 is a wasteful number, since it uses less digits than its factorization.

314132002401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65321928.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 314132002401 its reverse (104200231413), we get a palindrome (418332233814).

The spelling of 314132002401 in words is "three hundred fourteen billion, one hundred thirty-two million, two thousand, four hundred one".