44189040000 has 640 divisors, whose sum is σ = 173599430400. Its totient is φ = 9741312000.

The previous prime is 44189039953. The next prime is 44189040013. The reversal of 44189040000 is 4098144.

44189040000 is digitally balanced in base 2, 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 (640).

It is a super-2 number, since 2×44189040000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 44189040000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48719547 + ... + 48720453.

It is an arithmetic number, because the mean of its divisors is an integer number (271249110).

Almost surely, 2^44189040000 is an apocalyptic number.

44189040000 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 44189040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86799715200).

44189040000 is an abundant number, since it is smaller than the sum of its proper divisors (129410390400).

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

44189040000 is an equidigital number, since it uses as much as digits as its factorization.

44189040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 44189040000 in words is "forty-four billion, one hundred eighty-nine million, forty thousand".