44244793824 has 768 divisors, whose sum is σ = 158854348800. Its totient is φ = 10663403520.

The previous prime is 44244793823. The next prime is 44244793837. The reversal of 44244793824 is 42839744244.

It is a happy number.

44244793824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44244793823) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 391546792 + ... + 391546904.

It is an arithmetic number, because the mean of its divisors is an integer number (206841600).

Almost surely, 2^44244793824 is an apocalyptic number.

44244793824 is a gapful number since it is divisible by the number (44) 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 44244793824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79427174400).

44244793824 is an abundant number, since it is smaller than the sum of its proper divisors (114609554976).

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

44244793824 is a wasteful number, since it uses less digits than its factorization.

44244793824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 206 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 51.

The spelling of 44244793824 in words is "forty-four billion, two hundred forty-four million, seven hundred ninety-three thousand, eight hundred twenty-four".