4445204520960 has 2016 divisors, whose sum is σ = 19501788458880. Its totient is φ = 949399584768.

The previous prime is 4445204520959. The next prime is 4445204520971. The reversal of 4445204520960 is 690254025444.

It is a happy number.

4445204520960 is a `hidden beast` number, since 4 + 4 + 4 + 520 + 45 + 20 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31979888571 + ... + 31979888709.

It is an arithmetic number, because the mean of its divisors is an integer number (9673506180).

Almost surely, 2^{4445204520960} is an apocalyptic number.

4445204520960 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 4445204520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9750894229440).

4445204520960 is an abundant number, since it is smaller than the sum of its proper divisors (15056583937920).

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

4445204520960 is an frugal number, since it uses more digits than its factorization.

4445204520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 4445204520960 in words is "four trillion, four hundred forty-five billion, two hundred four million, five hundred twenty thousand, nine hundred sixty".