4075790400 has 504 divisors, whose sum is σ = 16405762464. Its totient is φ = 987033600.

The previous prime is 4075790363. The next prime is 4075790419. The reversal of 4075790400 is 40975704.

It is a happy number.

4075790400 is a `hidden beast` number, since 40 + 7 + 579 + 0 + 40 + 0 = 666.

It is a super-3 number, since 3×4075790400³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

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, 4276324 + ... + 4277276.

It is an arithmetic number, because the mean of its divisors is an integer number (32551116).

Almost surely, 2^4075790400 is an apocalyptic number.

4075790400 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 4075790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8202881232).

4075790400 is an abundant number, since it is smaller than the sum of its proper divisors (12329972064).

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

4075790400 is a wasteful number, since it uses less digits than its factorization.

4075790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 4075790400 is about 63841.9172644431. The cubic root of 4075790400 is about 1597.3642019063.

The spelling of 4075790400 in words is "four billion, seventy-five million, seven hundred ninety thousand, four hundred".