441913084992 has 224 divisors, whose sum is σ = 1339282665600. Its totient is φ = 142821605376.

The previous prime is 441913084969. The next prime is 441913085059. The reversal of 441913084992 is 299480319144.

441913084992 is a `hidden beast` number, since 4 + 4 + 19 + 130 + 8 + 499 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7412808 + ... + 7472184.

Almost surely, 2^441913084992 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 441913084992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669641332800).

441913084992 is an abundant number, since it is smaller than the sum of its proper divisors (897369580608).

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

441913084992 is a wasteful number, since it uses less digits than its factorization.

441913084992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59530 (or 59514 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 441913084992 in words is "four hundred forty-one billion, nine hundred thirteen million, eighty-four thousand, nine hundred ninety-two".