311440344314000 has 80 divisors (see below), whose sum is σ = 821523002841216. Its totient is φ = 113251034288000.

The previous prime is 311440344313999. The next prime is 311440344314117. The reversal of 311440344314000 is 413443044113.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7078167644 + ... + 7078211643.

Almost surely, 2^{311440344314000} is an apocalyptic number.

It is an amenable number.

311440344314000 is an abundant number, since it is smaller than the sum of its proper divisors (510082658527216).

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

311440344314000 is a wasteful number, since it uses less digits than its factorization.

311440344314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14156379321 (or 14156379305 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 311440344314000 its reverse (413443044113), we get a palindrome (311853787358113).

The spelling of 311440344314000 in words is "three hundred eleven trillion, four hundred forty billion, three hundred forty-four million, three hundred fourteen thousand".