44117040000 has 640 divisors, whose sum is σ = 169316801280. Its totient is φ = 10055680000.

The previous prime is 44117039963. The next prime is 44117040001. The reversal of 44117040000 is 4071144.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44117040001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44879509 + ... + 44880491.

It is an arithmetic number, because the mean of its divisors is an integer number (264557502).

Almost surely, 2^44117040000 is an apocalyptic number.

44117040000 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 44117040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84658400640).

44117040000 is an abundant number, since it is smaller than the sum of its proper divisors (125199761280).

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

44117040000 is a wasteful number, since it uses less digits than its factorization.

44117040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The spelling of 44117040000 in words is "forty-four billion, one hundred seventeen million, forty thousand".