441531740160 has 1872 divisors, whose sum is σ = 1957787919360. Its totient is φ = 91410923520.

The previous prime is 441531740147. The next prime is 441531740161. The reversal of 441531740160 is 61047135144.

441531740160 is a `hidden beast` number, since 4 + 41 + 531 + 74 + 0 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (441531740161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5319659479 + ... + 5319659561.

It is an arithmetic number, because the mean of its divisors is an integer number (1045826880).

Almost surely, 2^441531740160 is an apocalyptic number.

441531740160 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 441531740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978893959680).

441531740160 is an abundant number, since it is smaller than the sum of its proper divisors (1516256179200).

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

441531740160 is a wasteful number, since it uses less digits than its factorization.

441531740160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 441531740160 in words is "four hundred forty-one billion, five hundred thirty-one million, seven hundred forty thousand, one hundred sixty".