4044042000 has 120 divisors (see below), whose sum is σ = 14124553560. Its totient is φ = 1078406400.

The previous prime is 4044041959. The next prime is 4044042007. The reversal of 4044042000 is 2404404.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 630210816 + 3413831184 = 25104^2 + 58428^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4044042007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94335 + ... + 130334.

It is an arithmetic number, because the mean of its divisors is an integer number (117704613).

Almost surely, 2^4044042000 is an apocalyptic number.

4044042000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4044042000 is an abundant number, since it is smaller than the sum of its proper divisors (10080511560).

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

4044042000 is a wasteful number, since it uses less digits than its factorization.

4044042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224698 (or 224679 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4044042000 is about 63592.7826093496. The cubic root of 4044042000 is about 1593.2058257509.

Adding to 4044042000 its reverse (2404404), we get a palindrome (4046446404).

It can be divided in two parts, 404 and 4042000, that added together give a palindrome (4042404).

The spelling of 4044042000 in words is "four billion, forty-four million, forty-two thousand", and thus it is an eban number.