44742730032 has 1440 divisors, whose sum is σ = 193622607360. Its totient is φ = 9256550400.

The previous prime is 44742730031. The next prime is 44742730033. The reversal of 44742730032 is 23003724744.

It is an interprime number because it is at equal distance from previous prime (44742730031) and next prime (44742730033).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (44742730031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1443313857 + ... + 1443313887.

It is an arithmetic number, because the mean of its divisors is an integer number (134460144).

Almost surely, 2^44742730032 is an apocalyptic number.

44742730032 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 44742730032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96811303680).

44742730032 is an abundant number, since it is smaller than the sum of its proper divisors (148879877328).

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

44742730032 is a wasteful number, since it uses less digits than its factorization.

44742730032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The spelling of 44742730032 in words is "forty-four billion, seven hundred forty-two million, seven hundred thirty thousand, thirty-two".