3151315841940 has 288 divisors, whose sum is σ = 11290817341440. Its totient is φ = 696209126400.

The previous prime is 3151315841893. The next prime is 3151315841969. The reversal of 3151315841940 is 491485131513.

3151315841940 is a `hidden beast` number, since 3 + 1 + 5 + 13 + 1 + 584 + 19 + 40 = 666.

It is a super-2 number, since 2×3151315841940² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32019126 + ... + 32117394.

It is an arithmetic number, because the mean of its divisors is an integer number (39204226880).

Almost surely, 2^{3151315841940} is an apocalyptic number.

3151315841940 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 3151315841940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5645408670720).

3151315841940 is an abundant number, since it is smaller than the sum of its proper divisors (8139501499500).

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

3151315841940 is a wasteful number, since it uses less digits than its factorization.

3151315841940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99143 (or 99138 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 3151315841940 in words is "three trillion, one hundred fifty-one billion, three hundred fifteen million, eight hundred forty-one thousand, nine hundred forty".