441894942720000 has 9000 divisors, whose sum is σ = 2253568767180192. Its totient is φ = 84085309440000.

The previous prime is 441894942719977. The next prime is 441894942720059. The reversal of 441894942720000 is 27249498144.

441894942720000 is a `hidden beast` number, since 4 + 4 + 1 + 8 + 9 + 4 + 9 + 427 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9000).

It is a super-2 number, since 2×441894942720000² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 11943106559982 + ... + 11943106560018.

Almost surely, 2^{441894942720000} is an apocalyptic number.

441894942720000 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 441894942720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126784383590096).

441894942720000 is an abundant number, since it is smaller than the sum of its proper divisors (1811673824460192).

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

441894942720000 is an equidigital number, since it uses as much as digits as its factorization.

441894942720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 441894942720000 in words is "four hundred forty-one trillion, eight hundred ninety-four billion, nine hundred forty-two million, seven hundred twenty thousand".