4040992800 has 756 divisors, whose sum is σ = 16406758494. Its totient is φ = 970444800.

The previous prime is 4040992799. The next prime is 4040992859. The reversal of 4040992800 is 82990404.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 677456784 + 3363536016 = 26028^2 + 57996^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 98560780 + ... + 98560820.

Almost surely, 2^4040992800 is an apocalyptic number.

4040992800 is a gapful number since it is divisible by the number (40) 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 4040992800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8203379247).

4040992800 is an abundant number, since it is smaller than the sum of its proper divisors (12365765694).

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

4040992800 is a wasteful number, since it uses less digits than its factorization.

4040992800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4040992800 is about 63568.8036697247. The cubic root of 4040992800 is about 1592.8053003450.

The spelling of 4040992800 in words is "four billion, forty million, nine hundred ninety-two thousand, eight hundred".