4401444400 has 60 divisors (see below), whose sum is σ = 10732363432. Its totient is φ = 1734289920.

The previous prime is 4401444371. The next prime is 4401444401. The reversal of 4401444400 is 44441044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4401444401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55317 + ... + 108916.

Almost surely, 2^4401444400 is an apocalyptic number.

4401444400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4401444400 is an abundant number, since it is smaller than the sum of its proper divisors (6330919032).

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

4401444400 is a wasteful number, since it uses less digits than its factorization.

4401444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164318 (or 164307 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 4401444400 is about 66343.3824883839. The cubic root of 4401444400 is about 1638.8218288030.

Adding to 4401444400 its reverse (44441044), we get a palindrome (4445885444).

The spelling of 4401444400 in words is "four billion, four hundred one million, four hundred forty-four thousand, four hundred".