311360040 has 96 divisors (see below), whose sum is σ = 1016964000. Its totient is φ = 82615680.

The previous prime is 311359969. The next prime is 311360057. The reversal of 311360040 is 40063113.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 311359995 and 311360022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73911 + ... + 78009.

It is an arithmetic number, because the mean of its divisors is an integer number (10593375).

Almost surely, 2^311360040 is an apocalyptic number.

311360040 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 311360040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508482000).

311360040 is an abundant number, since it is smaller than the sum of its proper divisors (705603960).

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

311360040 is a wasteful number, since it uses less digits than its factorization.

311360040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4327 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 311360040 is about 17645.3971335303. The cubic root of 311360040 is about 677.7782447567.

The spelling of 311360040 in words is "three hundred eleven million, three hundred sixty thousand, forty".