4044000400 has 120 divisors (see below), whose sum is σ = 10621802304. Its totient is φ = 1467379200.

The previous prime is 4044000391. The next prime is 4044000431. The reversal of 4044000400 is 40004404.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3268582 + ... + 3269818.

Almost surely, 2^4044000400 is an apocalyptic number.

4044000400 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 4044000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5310901152).

4044000400 is an abundant number, since it is smaller than the sum of its proper divisors (6577801904).

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

4044000400 is a wasteful number, since it uses less digits than its factorization.

4044000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4044000400 is about 63592.4555273658. The cubic root of 4044000400 is about 1593.2003627686.

Adding to 4044000400 its reverse (40004404), we get a palindrome (4084004804).

The spelling of 4044000400 in words is "four billion, forty-four million, four hundred", and thus it is an aban number.