4880416320 has 224 divisors, whose sum is σ = 18541837440. Its totient is φ = 1201305600.

The previous prime is 4880416319. The next prime is 4880416337. The reversal of 4880416320 is 236140884.

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 31 ways as a sum of consecutive naturals, for example, 90595 + ... + 134045.

It is an arithmetic number, because the mean of its divisors is an integer number (82776060).

Almost surely, 2^4880416320 is an apocalyptic number.

4880416320 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 4880416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9270918720).

4880416320 is an abundant number, since it is smaller than the sum of its proper divisors (13661421120).

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

4880416320 is a wasteful number, since it uses less digits than its factorization.

4880416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43490 (or 43474 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4880416320 is about 69859.9765244736. The cubic root of 4880416320 is about 1696.2334510139.

The spelling of 4880416320 in words is "four billion, eight hundred eighty million, four hundred sixteen thousand, three hundred twenty".