311431030400040 has 64 divisors (see below), whose sum is σ = 983466411796800. Its totient is φ = 78677312942592.

The previous prime is 311431030400023. The next prime is 311431030400047. The reversal of 311431030400040 is 40004030134113.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (311431030400047) 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, 68296276317 + ... + 68296280876.

It is an arithmetic number, because the mean of its divisors is an integer number (15366662684325).

Almost surely, 2^{311431030400040} is an apocalyptic number.

311431030400040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311431030400040 is an abundant number, since it is smaller than the sum of its proper divisors (672035381396760).

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

311431030400040 is a wasteful number, since it uses less digits than its factorization.

311431030400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136592557226 (or 136592557222 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 311431030400040 its reverse (40004030134113), we get a palindrome (351435060534153).

The spelling of 311431030400040 in words is "three hundred eleven trillion, four hundred thirty-one billion, thirty million, four hundred thousand, forty".