441168429588480 has 2240 divisors, whose sum is σ = 1850174958804480. Its totient is φ = 99373547520000.

The previous prime is 441168429588319. The next prime is 441168429588629. The reversal of 441168429588480 is 84885924861144.

441168429588480 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 68 + 4 + 2 + 9 + 5 + 88 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 441168429588399 and 441168429588408.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49013263980 + ... + 49013272980.

It is an arithmetic number, because the mean of its divisors is an integer number (825970963752).

Almost surely, 2^{441168429588480} is an apocalyptic number.

441168429588480 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 441168429588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925087479402240).

441168429588480 is an abundant number, since it is smaller than the sum of its proper divisors (1409006529216000).

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

441168429588480 is a wasteful number, since it uses less digits than its factorization.

441168429588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9151 (or 9118 counting only the distinct ones).

The product of its (nonzero) digits is 566231040, while the sum is 72.

The spelling of 441168429588480 in words is "four hundred forty-one trillion, one hundred sixty-eight billion, four hundred twenty-nine million, five hundred eighty-eight thousand, four hundred eighty".