4026746074800 has 120 divisors (see below), whose sum is σ = 13173457130496. Its totient is φ = 1050952152320.

The previous prime is 4026746074759. The next prime is 4026746074811. The reversal of 4026746074800 is 84706476204.

4026746074800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4026746074800.

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, 35641704 + ... + 35754503.

Almost surely, 2^{4026746074800} is an apocalyptic number.

4026746074800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4026746074800 is an abundant number, since it is smaller than the sum of its proper divisors (9146711055696).

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

4026746074800 is a wasteful number, since it uses less digits than its factorization.

4026746074800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71396275 (or 71396264 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 4026746074800 in words is "four trillion, twenty-six billion, seven hundred forty-six million, seventy-four thousand, eight hundred".