4415332480 has 512 divisors, whose sum is σ = 13324953600. Its totient is φ = 1380188160.

The previous prime is 4415332409. The next prime is 4415332483. The reversal of 4415332480 is 842335144.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (4415332483) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83308134 + ... + 83308186.

It is an arithmetic number, because the mean of its divisors is an integer number (26025300).

Almost surely, 2^4415332480 is an apocalyptic number.

4415332480 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 4415332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662476800).

4415332480 is an abundant number, since it is smaller than the sum of its proper divisors (8909621120).

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

4415332480 is a wasteful number, since it uses less digits than its factorization.

4415332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 4415332480 is about 66447.9682157401. The cubic root of 4415332480 is about 1640.5437023383.

The spelling of 4415332480 in words is "four billion, four hundred fifteen million, three hundred thirty-two thousand, four hundred eighty".