44409448817160 has 512 divisors, whose sum is σ = 158063137689600. Its totient is φ = 9766434263040.

The previous prime is 44409448817093. The next prime is 44409448817183. The reversal of 44409448817160 is 6171884490444.

It is a happy number.

It is a super-2 number, since 2×44409448817160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 44409448817094 and 44409448817103.

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, 10045111750 + ... + 10045116170.

It is an arithmetic number, because the mean of its divisors is an integer number (308717065800).

Almost surely, 2^{44409448817160} is an apocalyptic number.

44409448817160 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 44409448817160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79031568844800).

44409448817160 is an abundant number, since it is smaller than the sum of its proper divisors (113653688872440).

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

44409448817160 is a wasteful number, since it uses less digits than its factorization.

44409448817160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5821 (or 5817 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 60.

The spelling of 44409448817160 in words is "forty-four trillion, four hundred nine billion, four hundred forty-eight million, eight hundred seventeen thousand, one hundred sixty".