311442719040 has 336 divisors, whose sum is σ = 1115585190720. Its totient is φ = 82701803520.

The previous prime is 311442718991. The next prime is 311442719047. The reversal of 311442719040 is 40917244113.

311442719040 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 427 + 190 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 311442718986 and 311442719004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311442719047) 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, 18731851 + ... + 18748469.

It is an arithmetic number, because the mean of its divisors is an integer number (3320194020).

Almost surely, 2^311442719040 is an apocalyptic number.

311442719040 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 311442719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557792595360).

311442719040 is an abundant number, since it is smaller than the sum of its proper divisors (804142471680).

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

311442719040 is a wasteful number, since it uses less digits than its factorization.

311442719040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16892 (or 16870 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 311442719040 in words is "three hundred eleven billion, four hundred forty-two million, seven hundred nineteen thousand, forty".