4375540400 has 240 divisors, whose sum is σ = 13797807360. Its totient is φ = 1291852800.

The previous prime is 4375540369. The next prime is 4375540409. The reversal of 4375540400 is 40455734.

It is not an unprimeable number, because it can be changed into a prime (4375540409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581462 + ... + 588938.

It is an arithmetic number, because the mean of its divisors is an integer number (57490864).

Almost surely, 2^4375540400 is an apocalyptic number.

4375540400 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 4375540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6898903680).

4375540400 is an abundant number, since it is smaller than the sum of its proper divisors (9422266960).

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

4375540400 is a wasteful number, since it uses less digits than its factorization.

4375540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7532 (or 7521 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 32.

The square root of 4375540400 is about 66147.8676905008. The cubic root of 4375540400 is about 1635.6004926736.

The spelling of 4375540400 in words is "four billion, three hundred seventy-five million, five hundred forty thousand, four hundred".