311325014040 has 128 divisors (see below), whose sum is σ = 989075266560. Its totient is φ = 78123792384.

The previous prime is 311325014029. The next prime is 311325014041. The reversal of 311325014040 is 40410523113.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 311325014040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311325014041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23459487 + ... + 23472753.

It is an arithmetic number, because the mean of its divisors is an integer number (7727150520).

Almost surely, 2^311325014040 is an apocalyptic number.

311325014040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311325014040 is an abundant number, since it is smaller than the sum of its proper divisors (677750252520).

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

311325014040 is a wasteful number, since it uses less digits than its factorization.

311325014040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24801 (or 24797 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 311325014040 its reverse (40410523113), we get a palindrome (351735537153).

The spelling of 311325014040 in words is "three hundred eleven billion, three hundred twenty-five million, fourteen thousand, forty".