44139901680 has 960 divisors, whose sum is σ = 190344960000. Its totient is φ = 9120190464.

The previous prime is 44139901667. The next prime is 44139901681. The reversal of 44139901680 is 8610993144.

44139901680 is a `hidden beast` number, since 441 + 39 + 90 + 16 + 80 = 666.

44139901680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44139901681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 107921316 + ... + 107921724.

It is an arithmetic number, because the mean of its divisors is an integer number (198276000).

Almost surely, 2^44139901680 is an apocalyptic number.

44139901680 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 44139901680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95172480000).

44139901680 is an abundant number, since it is smaller than the sum of its proper divisors (146205058320).

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

44139901680 is a wasteful number, since it uses less digits than its factorization.

44139901680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 44139901680 in words is "forty-four billion, one hundred thirty-nine million, nine hundred one thousand, six hundred eighty".