314024131120 has 40 divisors (see below), whose sum is σ = 834406978464. Its totient is φ = 107665416192.

The previous prime is 314024131103. The next prime is 314024131133. The reversal of 314024131120 is 21131420413.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×314024131120² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314024131091 and 314024131100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280378129 + ... + 280379248.

Almost surely, 2^314024131120 is an apocalyptic number.

It is an amenable number.

314024131120 is an abundant number, since it is smaller than the sum of its proper divisors (520382847344).

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

314024131120 is a wasteful number, since it uses less digits than its factorization.

314024131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560757397 (or 560757391 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 314024131120 its reverse (21131420413), we get a palindrome (335155551533).

The spelling of 314024131120 in words is "three hundred fourteen billion, twenty-four million, one hundred thirty-one thousand, one hundred twenty".