44045642160 has 800 divisors, whose sum is σ = 174228848640. Its totient is φ = 10231474176.

The previous prime is 44045642101. The next prime is 44045642171. The reversal of 44045642160 is 6124654044.

44045642160 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 5 + 642 + 1 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 246064951 + ... + 246065129.

Almost surely, 2^44045642160 is an apocalyptic number.

44045642160 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 44045642160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87114424320).

44045642160 is an abundant number, since it is smaller than the sum of its proper divisors (130183206480).

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

44045642160 is a wasteful number, since it uses less digits than its factorization.

44045642160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 44045642160 in words is "forty-four billion, forty-five million, six hundred forty-two thousand, one hundred sixty".