311431322004000 has 768 divisors, whose sum is σ = 1125201071554560. Its totient is φ = 74672616960000.

The previous prime is 311431322003981. The next prime is 311431322004029. The reversal of 311431322004000 is 400223134113.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11271070185 + ... + 11271097815.

It is an arithmetic number, because the mean of its divisors is an integer number (1465105561920).

Almost surely, 2^{311431322004000} is an apocalyptic number.

311431322004000 is a gapful number since it is divisible by the number (30) 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 311431322004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562600535777280).

311431322004000 is an abundant number, since it is smaller than the sum of its proper divisors (813769749550560).

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

311431322004000 is a wasteful number, since it uses less digits than its factorization.

311431322004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28602 (or 28584 counting only the distinct ones).

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

Adding to 311431322004000 its reverse (400223134113), we get a palindrome (311831545138113).

The spelling of 311431322004000 in words is "three hundred eleven trillion, four hundred thirty-one billion, three hundred twenty-two million, four thousand".