4056998400 has 1200 divisors, whose sum is σ = 18910081344. Its totient is φ = 836075520.

The previous prime is 4056998377. The next prime is 4056998419. The reversal of 4056998400 is 48996504.

4056998400 = 369³ + 370³ + ... + 431³.

It is a happy number.

4056998400 is a `hidden beast` number, since 4 + 0 + 569 + 9 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 94348779 + ... + 94348821.

Almost surely, 2^4056998400 is an apocalyptic number.

4056998400 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 4056998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9455040672).

4056998400 is an abundant number, since it is smaller than the sum of its proper divisors (14853082944).

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

4056998400 is a wasteful number, since it uses less digits than its factorization.

4056998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 4056998400 is about 63694.5711972378. The cubic root of 4056998400 is about 1594.9054624379.

The spelling of 4056998400 in words is "four billion, fifty-six million, nine hundred ninety-eight thousand, four hundred".