3431317418640 has 400 divisors, whose sum is σ = 11962428730560. Its totient is φ = 911574881280.

The previous prime is 3431317418623. The next prime is 3431317418663. The reversal of 3431317418640 is 468147131343.

3431317418640 is a `hidden beast` number, since 3 + 43 + 131 + 7 + 418 + 64 + 0 = 666.

3431317418640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3360741330 + ... + 3360742350.

Almost surely, 2^{3431317418640} is an apocalyptic number.

3431317418640 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 3431317418640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5981214365280).

3431317418640 is an abundant number, since it is smaller than the sum of its proper divisors (8531111311920).

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

3431317418640 is a wasteful number, since it uses less digits than its factorization.

3431317418640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 3431317418640 in words is "three trillion, four hundred thirty-one billion, three hundred seventeen million, four hundred eighteen thousand, six hundred forty".