441598998672 has 360 divisors, whose sum is σ = 1419280035264. Its totient is φ = 127176242688.

The previous prime is 441598998671. The next prime is 441598998683. The reversal of 441598998672 is 276899895144.

441598998672 is a `hidden beast` number, since 441 + 5 + 98 + 9 + 98 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×441598998672² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 441598998672.

It is not an unprimeable number, because it can be changed into a prime (441598998671) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 95108383 + ... + 95113025.

Almost surely, 2^441598998672 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 441598998672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709640017632).

441598998672 is an abundant number, since it is smaller than the sum of its proper divisors (977681036592).

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

441598998672 is a wasteful number, since it uses less digits than its factorization.

441598998672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4787 (or 4731 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 72.

The spelling of 441598998672 in words is "four hundred forty-one billion, five hundred ninety-eight million, nine hundred ninety-eight thousand, six hundred seventy-two".