440404044000 has 192 divisors, whose sum is σ = 1481758754112. Its totient is φ = 114266880000.

The previous prime is 440404043941. The next prime is 440404044001. The reversal of 440404044000 is 440404044.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440404044001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51951 + ... + 939950.

It is an arithmetic number, because the mean of its divisors is an integer number (7717493511).

Almost surely, 2^440404044000 is an apocalyptic number.

440404044000 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 440404044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740879377056).

440404044000 is an abundant number, since it is smaller than the sum of its proper divisors (1041354710112).

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

440404044000 is a wasteful number, since it uses less digits than its factorization.

440404044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991966 (or 991948 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 440404044000 its reverse (440404044), we get a palindrome (440844448044).

440404044000 divided by its reverse (440404044) gives a cube (1000 = 10³).

The spelling of 440404044000 in words is "four hundred forty billion, four hundred four million, forty-four thousand".