44401812120 has 640 divisors, whose sum is σ = 165597696000. Its totient is φ = 10626370560.

The previous prime is 44401812113. The next prime is 44401812121. The reversal of 44401812120 is 2121810444.

44401812120 is a `hidden beast` number, since 4 + 440 + 1 + 8 + 1 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44401812121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 101142861 + ... + 101143299.

It is an arithmetic number, because the mean of its divisors is an integer number (258746400).

Almost surely, 2^44401812120 is an apocalyptic number.

44401812120 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 44401812120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82798848000).

44401812120 is an abundant number, since it is smaller than the sum of its proper divisors (121195883880).

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

44401812120 is a wasteful number, since it uses less digits than its factorization.

44401812120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 44401812120 in words is "forty-four billion, four hundred one million, eight hundred twelve thousand, one hundred twenty".