44940849408 has 864 divisors, whose sum is σ = 170288092800. Its totient is φ = 11584290816.

The previous prime is 44940849403. The next prime is 44940849433. The reversal of 44940849408 is 80494804944.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (44940849403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 259773610 + ... + 259773782.

It is an arithmetic number, because the mean of its divisors is an integer number (197092700).

Almost surely, 2^44940849408 is an apocalyptic number.

44940849408 is a gapful number since it is divisible by the number (48) 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 44940849408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85144046400).

44940849408 is an abundant number, since it is smaller than the sum of its proper divisors (125347243392).

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

44940849408 is a wasteful number, since it uses less digits than its factorization.

44940849408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 44940849408 in words is "forty-four billion, nine hundred forty million, eight hundred forty-nine thousand, four hundred eight".