313344002040 has 128 divisors (see below), whose sum is σ = 995649408000. Its totient is φ = 78617806848.

The previous prime is 313344002017. The next prime is 313344002071. The reversal of 313344002040 is 40200443313.

It is a super-2 number, since 2×313344002040² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 313344002040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6747621 + ... + 6793899.

It is an arithmetic number, because the mean of its divisors is an integer number (7778511000).

Almost surely, 2^313344002040 is an apocalyptic number.

313344002040 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 313344002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497824704000).

313344002040 is an abundant number, since it is smaller than the sum of its proper divisors (682305405960).

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

313344002040 is a wasteful number, since it uses less digits than its factorization.

313344002040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49629 (or 49625 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 313344002040 its reverse (40200443313), we get a palindrome (353544445353).

The spelling of 313344002040 in words is "three hundred thirteen billion, three hundred forty-four million, two thousand, forty".