4375094400 has 288 divisors, whose sum is σ = 15832798020. Its totient is φ = 1150156800.

The previous prime is 4375094393. The next prime is 4375094441. The reversal of 4375094400 is 44905734.

It can be written as a sum of positive squares in 6 ways, for example, as 1461685824 + 2913408576 = 38232^2 + 53976^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4375094400² = 38282902017822720000, 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 35 ways as a sum of consecutive naturals, for example, 2101360 + ... + 2103440.

Almost surely, 2^4375094400 is an apocalyptic number.

4375094400 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 4375094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7916399010).

4375094400 is an abundant number, since it is smaller than the sum of its proper divisors (11457703620).

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

4375094400 is a wasteful number, since it uses less digits than its factorization.

4375094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4375094400 is about 66144.4963696905. The cubic root of 4375094400 is about 1635.5449183872.

The spelling of 4375094400 in words is "four billion, three hundred seventy-five million, ninety-four thousand, four hundred".