441416911122 has 128 divisors (see below), whose sum is σ = 1117223331840. Its totient is φ = 127878696000.

The previous prime is 441416911097. The next prime is 441416911129. The reversal of 441416911122 is 221119614144.

441416911122 is a `hidden beast` number, since 4 + 41 + 416 + 91 + 112 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (441416911129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29242797 + ... + 29257887.

It is an arithmetic number, because the mean of its divisors is an integer number (8728307280).

Almost surely, 2^441416911122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441416911122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558611665920).

441416911122 is an abundant number, since it is smaller than the sum of its proper divisors (675806420718).

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

441416911122 is a wasteful number, since it uses less digits than its factorization.

441416911122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17277 (or 17271 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The spelling of 441416911122 in words is "four hundred forty-one billion, four hundred sixteen million, nine hundred eleven thousand, one hundred twenty-two".