4120880800 has 72 divisors (see below), whose sum is σ = 10159904412. Its totient is φ = 1632000000.

The previous prime is 4120880789. The next prime is 4120880843. The reversal of 4120880800 is 80880214.

It can be written as a sum of positive squares in 6 ways, for example, as 3277791504 + 843089296 = 57252^2 + 29036^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55300 + ... + 106300.

Almost surely, 2^4120880800 is an apocalyptic number.

4120880800 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 4120880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5079952206).

4120880800 is an abundant number, since it is smaller than the sum of its proper divisors (6039023612).

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

4120880800 is a wasteful number, since it uses less digits than its factorization.

4120880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51122 (or 51109 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 4120880800 is about 64194.0869551083. The cubic root of 4120880800 is about 1603.2331498133.

The spelling of 4120880800 in words is "four billion, one hundred twenty million, eight hundred eighty thousand, eight hundred".