311940804672 has 336 divisors, whose sum is σ = 1106134561920. Its totient is φ = 84433923072.

The previous prime is 311940804667. The next prime is 311940804677. The reversal of 311940804672 is 276408049113.

It is an interprime number because it is at equal distance from previous prime (311940804667) and next prime (311940804677).

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (311940804677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4330938 + ... + 4402374.

Almost surely, 2^311940804672 is an apocalyptic number.

311940804672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311940804672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553067280960).

311940804672 is an abundant number, since it is smaller than the sum of its proper divisors (794193757248).

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

311940804672 is a wasteful number, since it uses less digits than its factorization.

311940804672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71503 (or 71468 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 311940804672 in words is "three hundred eleven billion, nine hundred forty million, eight hundred four thousand, six hundred seventy-two".