44144400 has 60 divisors (see below), whose sum is σ = 141413072. Its totient is φ = 11771520.

The previous prime is 44144381. The next prime is 44144407. The reversal of 44144400 is 444144.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (44144407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17194 + ... + 19593.

Almost surely, 2^44144400 is an apocalyptic number.

44144400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44144400 is an abundant number, since it is smaller than the sum of its proper divisors (97268672).

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

44144400 is a wasteful number, since it uses less digits than its factorization.

44144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36808 (or 36797 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 44144400 is about 6644.1252245875. The cubic root of 44144400 is about 353.4206105350.

Adding to 44144400 its reverse (444144), we get a palindrome (44588544).

It can be divided in two parts, 44144 and 400, that added together give a palindrome (44544).

The spelling of 44144400 in words is "forty-four million, one hundred forty-four thousand, four hundred".