313240040400 has 120 divisors (see below), whose sum is σ = 1146756902464. Its totient is φ = 71597721600.

The previous prime is 313240040389. The next prime is 313240040411. The reversal of 313240040400 is 4040042313.

It is an interprime number because it is at equal distance from previous prime (313240040389) and next prime (313240040411).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18636841 + ... + 18653640.

Almost surely, 2^313240040400 is an apocalyptic number.

313240040400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313240040400 is an abundant number, since it is smaller than the sum of its proper divisors (833516862064).

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

313240040400 is a wasteful number, since it uses less digits than its factorization.

313240040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37290509 (or 37290498 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 313240040400 its reverse (4040042313), we get a palindrome (317280082713).

The spelling of 313240040400 in words is "three hundred thirteen billion, two hundred forty million, forty thousand, four hundred".