441824520060 has 432 divisors, whose sum is σ = 1713769529472. Its totient is φ = 91104249600.

The previous prime is 441824520031. The next prime is 441824520061. The reversal of 441824520060 is 60025428144.

441824520060 is a `hidden beast` number, since 44 + 18 + 24 + 520 + 0 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 441824519997 and 441824520024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441824520061) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12692239 + ... + 12727001.

It is an arithmetic number, because the mean of its divisors is an integer number (3967059096).

Almost surely, 2^441824520060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441824520060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856884764736).

441824520060 is an abundant number, since it is smaller than the sum of its proper divisors (1271945009412).

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

441824520060 is a wasteful number, since it uses less digits than its factorization.

441824520060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34934 (or 34922 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 441824520060 in words is "four hundred forty-one billion, eight hundred twenty-four million, five hundred twenty thousand, sixty".