4116880320 has 224 divisors, whose sum is σ = 14976652800. Its totient is φ = 938594304.

The previous prime is 4116880307. The next prime is 4116880343. The reversal of 4116880320 is 230886114.

4116880320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

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, 4965666 + ... + 4966494.

Almost surely, 2^4116880320 is an apocalyptic number.

4116880320 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 4116880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7488326400).

4116880320 is an abundant number, since it is smaller than the sum of its proper divisors (10859772480).

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

4116880320 is a wasteful number, since it uses less digits than its factorization.

4116880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 4116880320 is about 64162.9201330488. The cubic root of 4116880320 is about 1602.7141848137.

The spelling of 4116880320 in words is "four billion, one hundred sixteen million, eight hundred eighty thousand, three hundred twenty".