4120000800 has 72 divisors (see below), whose sum is σ = 13410610416. Its totient is φ = 1098666240.

The previous prime is 4120000789. The next prime is 4120000837. The reversal of 4120000800 is 80000214.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4120000800.

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, 855934 + ... + 860733.

It is an arithmetic number, because the mean of its divisors is an integer number (186258478).

Almost surely, 2^4120000800 is an apocalyptic number.

4120000800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4120000800 is an abundant number, since it is smaller than the sum of its proper divisors (9290609616).

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

4120000800 is a wasteful number, since it uses less digits than its factorization.

4120000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716690 (or 1716677 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4120000800 is about 64187.2323752941. The cubic root of 4120000800 is about 1603.1190200370.

The spelling of 4120000800 in words is "four billion, one hundred twenty million, eight hundred", and thus it is an aban number.