4415045600 has 144 divisors (see below), whose sum is σ = 12428767008. Its totient is φ = 1500119040.

The previous prime is 4415045567. The next prime is 4415045629. The reversal of 4415045600 is 65405144.

It is a congruent number.

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, 629312 + ... + 636288.

It is an arithmetic number, because the mean of its divisors is an integer number (86310882).

Almost surely, 2^4415045600 is an apocalyptic number.

4415045600 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 4415045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6214383504).

4415045600 is an abundant number, since it is smaller than the sum of its proper divisors (8013721408).

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

4415045600 is a wasteful number, since it uses less digits than its factorization.

4415045600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7117 (or 7104 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 4415045600 is about 66445.8094991701. The cubic root of 4415045600 is about 1640.5081708977.

The spelling of 4415045600 in words is "four billion, four hundred fifteen million, forty-five thousand, six hundred".