3126411264042 has 96 divisors (see below), whose sum is σ = 7453334154240. Its totient is φ = 939274025760.

The previous prime is 3126411264001. The next prime is 3126411264061. The reversal of 3126411264042 is 2404621146213.

3126411264042 is a `hidden beast` number, since 3 + 1 + 2 + 6 + 4 + 1 + 1 + 2 + 640 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3126411263988 and 3126411264006.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10596573 + ... + 10887615.

It is an arithmetic number, because the mean of its divisors is an integer number (77638897440).

Almost surely, 2^{3126411264042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3126411264042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726667077120).

3126411264042 is an abundant number, since it is smaller than the sum of its proper divisors (4326922890198).

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

3126411264042 is a wasteful number, since it uses less digits than its factorization.

3126411264042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291528 (or 291525 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 3126411264042 in words is "three trillion, one hundred twenty-six billion, four hundred eleven million, two hundred sixty-four thousand, forty-two".