444996304042752 has 648 divisors, whose sum is σ = 1671439717479168. Its totient is φ = 115583441909760.

The previous prime is 444996304042733. The next prime is 444996304042777. The reversal of 444996304042752 is 257240403699444.

444996304042752 is a `hidden beast` number, since 4 + 4 + 4 + 9 + 96 + 30 + 40 + 427 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×444996304042752² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 444996304042752.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48467413 + ... + 56912939.

Almost surely, 2^{444996304042752} is an apocalyptic number.

444996304042752 is a gapful number since it is divisible by the number (42) 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 444996304042752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835719858739584).

444996304042752 is an abundant number, since it is smaller than the sum of its proper divisors (1226443413436416).

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

444996304042752 is an equidigital number, since it uses as much as digits as its factorization.

444996304042752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8445587 (or 8445550 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 444996304042752 in words is "four hundred forty-four trillion, nine hundred ninety-six billion, three hundred four million, forty-two thousand, seven hundred fifty-two".