4050990720 has 576 divisors, whose sum is σ = 16833623040. Its totient is φ = 894136320.

The previous prime is 4050990659. The next prime is 4050990733. The reversal of 4050990720 is 270990504.

4050990720 is a `hidden beast` number, since 40 + 509 + 90 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4050990720² = 32821051627052236800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8749209 + ... + 8749671.

It is an arithmetic number, because the mean of its divisors is an integer number (29225040).

Almost surely, 2^4050990720 is an apocalyptic number.

4050990720 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 4050990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8416811520).

4050990720 is an abundant number, since it is smaller than the sum of its proper divisors (12782632320).

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

4050990720 is a wasteful number, since it uses less digits than its factorization.

4050990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 4050990720 is about 63647.3936622703. The cubic root of 4050990720 is about 1594.1178181274.

The spelling of 4050990720 in words is "four billion, fifty million, nine hundred ninety thousand, seven hundred twenty".