44400444000 has 384 divisors, whose sum is σ = 162985665024. Its totient is φ = 10471680000.

The previous prime is 44400443929. The next prime is 44400444061. The reversal of 44400444000 is 44400444.

It is a super-3 number, since 3×44400444000³ (a number of 33 digits) contains 333 as substring.

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 zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4879455 + ... + 4888545.

It is an arithmetic number, because the mean of its divisors is an integer number (424441836).

Almost surely, 2^44400444000 is an apocalyptic number.

44400444000 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 44400444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81492832512).

44400444000 is an abundant number, since it is smaller than the sum of its proper divisors (118585221024).

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

44400444000 is a wasteful number, since it uses less digits than its factorization.

44400444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9167 (or 9149 counting only the distinct ones).

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

Adding to 44400444000 its reverse (44400444), we get a palindrome (44444844444).

44400444000 divided by its reverse (44400444) gives a cube (1000 = 10³).

The spelling of 44400444000 in words is "forty-four billion, four hundred million, four hundred forty-four thousand".