44431441920 has 576 divisors, whose sum is σ = 165087175680. Its totient is φ = 11466178560.

The previous prime is 44431441919. The next prime is 44431441939. The reversal of 44431441920 is 2914413444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1433272305 + ... + 1433272335.

It is an arithmetic number, because the mean of its divisors is an integer number (286609680).

Almost surely, 2^44431441920 is an apocalyptic number.

44431441920 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 44431441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82543587840).

44431441920 is an abundant number, since it is smaller than the sum of its proper divisors (120655733760).

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

44431441920 is an frugal number, since it uses more digits than its factorization.

44431441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 44431441920 in words is "forty-four billion, four hundred thirty-one million, four hundred forty-one thousand, nine hundred twenty".