44171148960 has 768 divisors, whose sum is σ = 170559406080. Its totient is φ = 10632314880.

The previous prime is 44171148887. The next prime is 44171148971. The reversal of 44171148960 is 6984117144.

44171148960 is a `hidden beast` number, since 4 + 41 + 71 + 1 + 489 + 60 = 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, 231262465 + ... + 231262655.

It is an arithmetic number, because the mean of its divisors is an integer number (222082560).

Almost surely, 2^44171148960 is an apocalyptic number.

44171148960 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 44171148960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85279703040).

44171148960 is an abundant number, since it is smaller than the sum of its proper divisors (126388257120).

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

44171148960 is a wasteful number, since it uses less digits than its factorization.

44171148960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

It can be divided in two parts, 44171 and 148960, that added together give a triangular number (193131 = T₆₂₁).

The spelling of 44171148960 in words is "forty-four billion, one hundred seventy-one million, one hundred forty-eight thousand, nine hundred sixty".