44479964160 has 616 divisors, whose sum is σ = 169628519736. Its totient is φ = 11147673600.

The previous prime is 44479964147. The next prime is 44479964227. The reversal of 44479964160 is 6146997444.

44479964160 is a `hidden beast` number, since 4 + 4 + 479 + 9 + 6 + 4 + 160 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17247043584 + 27232920576 = 131328^2 + 165024^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 44479964097 and 44479964106.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 63451810 + ... + 63452510.

Almost surely, 2^44479964160 is an apocalyptic number.

44479964160 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 44479964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84814259868).

44479964160 is an abundant number, since it is smaller than the sum of its proper divisors (125148555576).

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

44479964160 is an equidigital number, since it uses as much as digits as its factorization.

44479964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 44479964160 in words is "forty-four billion, four hundred seventy-nine million, nine hundred sixty-four thousand, one hundred sixty".