441609125769504 has 1728 divisors, whose sum is σ = 1727088674088960. Its totient is φ = 103673364480000.

The previous prime is 441609125769479. The next prime is 441609125769517. The reversal of 441609125769504 is 405967521906144.

441609125769504 is a `hidden beast` number, since 4 + 4 + 1 + 6 + 0 + 9 + 1 + 2 + 576 + 9 + 50 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 28748714784 + ... + 28748730144.

It is an arithmetic number, because the mean of its divisors is an integer number (999472612320).

Almost surely, 2^{441609125769504} is an apocalyptic number.

441609125769504 is a gapful number since it is divisible by the number (44) 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 441609125769504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863544337044480).

441609125769504 is an abundant number, since it is smaller than the sum of its proper divisors (1285479548319456).

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

441609125769504 is a wasteful number, since it uses less digits than its factorization.

441609125769504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15547 (or 15505 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 441609125769504 in words is "four hundred forty-one trillion, six hundred nine billion, one hundred twenty-five million, seven hundred sixty-nine thousand, five hundred four".