44261993160 has 512 divisors, whose sum is σ = 186245222400. Its totient is φ = 9195897600.

The previous prime is 44261993159. The next prime is 44261993173. The reversal of 44261993160 is 6139916244.

44261993160 is a `hidden beast` number, since 4 + 426 + 199 + 31 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6732675 + ... + 6739245.

It is an arithmetic number, because the mean of its divisors is an integer number (363760200).

Almost surely, 2^44261993160 is an apocalyptic number.

44261993160 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 44261993160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93122611200).

44261993160 is an abundant number, since it is smaller than the sum of its proper divisors (141983229240).

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

44261993160 is a wasteful number, since it uses less digits than its factorization.

44261993160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6621 (or 6599 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 44261993160 in words is "forty-four billion, two hundred sixty-one million, nine hundred ninety-three thousand, one hundred sixty".