441161220096 has 432 divisors, whose sum is σ = 1393132759200. Its totient is φ = 139314069504.

The previous prime is 441161220079. The next prime is 441161220121. The reversal of 441161220096 is 690022161144.

441161220096 is a `hidden beast` number, since 4 + 4 + 11 + 612 + 20 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a self number, because there is not a number n which added to its sum of digits gives 441161220096.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23219011575 + ... + 23219011593.

It is an arithmetic number, because the mean of its divisors is an integer number (3224844350).

Almost surely, 2^441161220096 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 441161220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696566379600).

441161220096 is an abundant number, since it is smaller than the sum of its proper divisors (951971539104).

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

441161220096 is an frugal number, since it uses more digits than its factorization.

441161220096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 441161220096 in words is "four hundred forty-one billion, one hundred sixty-one million, two hundred twenty thousand, ninety-six".