44036634216960 has 960 divisors, whose sum is σ = 196497060883200. Its totient is φ = 9150457282560.

The previous prime is 44036634216947. The next prime is 44036634216961. The reversal of 44036634216960 is 6961243663044.

44036634216960 is a `hidden beast` number, since 4 + 4 + 0 + 366 + 3 + 4 + 216 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 44036634216897 and 44036634216906.

It is not an unprimeable number, because it can be changed into a prime (44036634216961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58168546 + ... + 58920734.

It is an arithmetic number, because the mean of its divisors is an integer number (204684438420).

Almost surely, 2^{44036634216960} is an apocalyptic number.

44036634216960 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 44036634216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98248530441600).

44036634216960 is an abundant number, since it is smaller than the sum of its proper divisors (152460426666240).

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

44036634216960 is a wasteful number, since it uses less digits than its factorization.

44036634216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752250 (or 752217 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 44036634216960 in words is "forty-four trillion, thirty-six billion, six hundred thirty-four million, two hundred sixteen thousand, nine hundred sixty".