4072496800 has 36 divisors (see below), whose sum is σ = 9941984766. Its totient is φ = 1628998400.

The previous prime is 4072496789. The next prime is 4072496821. The reversal of 4072496800 is 86942704.

It can be written as a sum of positive squares in 3 ways, for example, as 2976357136 + 1096139664 = 54556^2 + 33108^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2544511 + ... + 2546110.

Almost surely, 2^4072496800 is an apocalyptic number.

4072496800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4072496800 is an abundant number, since it is smaller than the sum of its proper divisors (5869487966).

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

4072496800 is a wasteful number, since it uses less digits than its factorization.

4072496800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5090641 (or 5090628 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 4072496800 is about 63816.1170865166. The cubic root of 4072496800 is about 1596.9338153232.

The spelling of 4072496800 in words is "four billion, seventy-two million, four hundred ninety-six thousand, eight hundred".