441641864160 has 768 divisors, whose sum is σ = 1890179020800. Its totient is φ = 94058496000.

The previous prime is 441641864149. The next prime is 441641864177. The reversal of 441641864160 is 61468146144.

It is a happy number.

441641864160 is a `hidden beast` number, since 4 + 4 + 16 + 418 + 64 + 160 = 666.

It is a super-3 number, since 3×441641864160³ (a number of 36 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35041860 + ... + 35054460.

It is an arithmetic number, because the mean of its divisors is an integer number (2461170600).

Almost surely, 2^441641864160 is an apocalyptic number.

441641864160 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 441641864160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945089510400).

441641864160 is an abundant number, since it is smaller than the sum of its proper divisors (1448537156640).

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

441641864160 is a wasteful number, since it uses less digits than its factorization.

441641864160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12712 (or 12698 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 441641864160 in words is "four hundred forty-one billion, six hundred forty-one million, eight hundred sixty-four thousand, one hundred sixty".