311404113615140 has 96 divisors (see below), whose sum is σ = 821984541041664. Its totient is φ = 96457369559040.

The previous prime is 311404113615103. The next prime is 311404113615163. The reversal of 311404113615140 is 41516311404113.

It is a happy number.

It is a super-4 number, since 4×311404113615140⁴ (a number of 59 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 311404113615140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1820139581 + ... + 1820310660.

It is an arithmetic number, because the mean of its divisors is an integer number (8562338969184).

Almost surely, 2^{311404113615140} is an apocalyptic number.

It is an amenable number.

311404113615140 is an abundant number, since it is smaller than the sum of its proper divisors (510580427426524).

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

311404113615140 is a wasteful number, since it uses less digits than its factorization.

311404113615140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640450317 (or 3640450315 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 311404113615140 in words is "three hundred eleven trillion, four hundred four billion, one hundred thirteen million, six hundred fifteen thousand, one hundred forty".