314406242400 has 72 divisors (see below), whose sum is σ = 1023392326824. Its totient is φ = 83841664000.

The previous prime is 314406242377. The next prime is 314406242413. The reversal of 314406242400 is 4242604413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65498901 + ... + 65503700.

It is an arithmetic number, because the mean of its divisors is an integer number (14213782317).

Almost surely, 2^314406242400 is an apocalyptic number.

314406242400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314406242400 is an abundant number, since it is smaller than the sum of its proper divisors (708986084424).

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

314406242400 is a wasteful number, since it uses less digits than its factorization.

314406242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131002624 (or 131002611 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 314406242400 its reverse (4242604413), we get a palindrome (318648846813).

The spelling of 314406242400 in words is "three hundred fourteen billion, four hundred six million, two hundred forty-two thousand, four hundred".