4375814400 has 540 divisors, whose sum is σ = 16928833152. Its totient is φ = 1113108480.

The previous prime is 4375814371. The next prime is 4375814411. The reversal of 4375814400 is 44185734.

4375814400 is a `hidden beast` number, since 4 + 37 + 581 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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 59 ways as a sum of consecutive naturals, for example, 11923017 + ... + 11923383.

Almost surely, 2^4375814400 is an apocalyptic number.

4375814400 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 4375814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8464416576).

4375814400 is an abundant number, since it is smaller than the sum of its proper divisors (12553018752).

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

4375814400 is a wasteful number, since it uses less digits than its factorization.

4375814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4375814400 is about 66149.9387754819. The cubic root of 4375814400 is about 1635.6346328514.

The spelling of 4375814400 in words is "four billion, three hundred seventy-five million, eight hundred fourteen thousand, four hundred".