440001344400 has 60 divisors (see below), whose sum is σ = 1409470977072. Its totient is φ = 117333691520.

The previous prime is 440001344353. The next prime is 440001344417. The reversal of 440001344400 is 4443100044.

440001344400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×440001344400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 183332694 + ... + 183335093.

Almost surely, 2^440001344400 is an apocalyptic number.

440001344400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440001344400 is an abundant number, since it is smaller than the sum of its proper divisors (969469632672).

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

440001344400 is a wasteful number, since it uses less digits than its factorization.

440001344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366667808 (or 366667797 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 440001344400 its reverse (4443100044), we get a palindrome (444444444444).

The spelling of 440001344400 in words is "four hundred forty billion, one million, three hundred forty-four thousand, four hundred".