3126945497040 has 120 divisors (see below), whose sum is σ = 10509425059848. Its totient is φ = 833208975360.

The previous prime is 3126945497033. The next prime is 3126945497059. The reversal of 3126945497040 is 407945496213.

3126945497040 is a `hidden beast` number, since 3 + 1 + 2 + 6 + 94 + 549 + 7 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2086961615424 + 1039983881616 = 1444632^2 + 1019796^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 740401 + ... + 2608080.

Almost surely, 2^{3126945497040} is an apocalyptic number.

3126945497040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3126945497040 is an abundant number, since it is smaller than the sum of its proper divisors (7382479562808).

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

3126945497040 is a wasteful number, since it uses less digits than its factorization.

3126945497040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349797 (or 3349788 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 3126945497040 in words is "three trillion, one hundred twenty-six billion, nine hundred forty-five million, four hundred ninety-seven thousand, forty".