4415325200 has 120 divisors (see below), whose sum is σ = 12462494016. Its totient is φ = 1482048000.

The previous prime is 4415325199. The next prime is 4415325251. The reversal of 4415325200 is 25235144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 4415325200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18605 + ... + 95795.

Almost surely, 2^4415325200 is an apocalyptic number.

4415325200 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 4415325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6231247008).

4415325200 is an abundant number, since it is smaller than the sum of its proper divisors (8047168816).

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

4415325200 is a wasteful number, since it uses less digits than its factorization.

4415325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77233 (or 77222 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 4415325200 is about 66447.9134360139. The cubic root of 4415325200 is about 1640.5428006950.

The spelling of 4415325200 in words is "four billion, four hundred fifteen million, three hundred twenty-five thousand, two hundred".