4144014800 has 60 divisors (see below), whose sum is σ = 10225113036. Its totient is φ = 1612800000.

The previous prime is 4144014781. The next prime is 4144014821. The reversal of 4144014800 is 84104414.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 25969216 + 4118045584 = 5096^2 + 64172^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4144014800.

It is a congruent number.

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, 125201 + ... + 154800.

Almost surely, 2^4144014800 is an apocalyptic number.

4144014800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144014800 is an abundant number, since it is smaller than the sum of its proper divisors (6081098236).

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

4144014800 is a wasteful number, since it uses less digits than its factorization.

4144014800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280056 (or 280045 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 4144014800 is about 64374.0227110284. The cubic root of 4144014800 is about 1606.2276558233.

The spelling of 4144014800 in words is "four billion, one hundred forty-four million, fourteen thousand, eight hundred".