44135720832 has 512 divisors, whose sum is σ = 146644992000. Its totient is φ = 11484684288.

The previous prime is 44135720831. The next prime is 44135720843. The reversal of 44135720832 is 23802753144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44135720831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184668169 + ... + 184668407.

It is an arithmetic number, because the mean of its divisors is an integer number (286416000).

Almost surely, 2^44135720832 is an apocalyptic number.

44135720832 is a gapful number since it is divisible by the number (42) 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 44135720832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73322496000).

44135720832 is an abundant number, since it is smaller than the sum of its proper divisors (102509271168).

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

44135720832 is a wasteful number, since it uses less digits than its factorization.

44135720832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 44135720832 in words is "forty-four billion, one hundred thirty-five million, seven hundred twenty thousand, eight hundred thirty-two".