44242391520 has 576 divisors, whose sum is σ = 166748295168. Its totient is φ = 10644480000.

The previous prime is 44242391519. The next prime is 44242391539. The reversal of 44242391520 is 2519324244.

It is a happy number.

44242391520 is a `hidden beast` number, since 4 + 4 + 2 + 42 + 3 + 91 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42094995 + ... + 42096045.

It is an arithmetic number, because the mean of its divisors is an integer number (289493568).

Almost surely, 2^44242391520 is an apocalyptic number.

44242391520 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 44242391520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83374147584).

44242391520 is an abundant number, since it is smaller than the sum of its proper divisors (122505903648).

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

44242391520 is a wasteful number, since it uses less digits than its factorization.

44242391520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 44242391520 in words is "forty-four billion, two hundred forty-two million, three hundred ninety-one thousand, five hundred twenty".