441101416 has 64 divisors (see below), whose sum is σ = 1009152000. Its totient is φ = 176541120.

The previous prime is 441101413. The next prime is 441101459. The reversal of 441101416 is 614101144.

It is not an unprimeable number, because it can be changed into a prime (441101413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72625 + ... + 78463.

It is an arithmetic number, because the mean of its divisors is an integer number (15768000).

Almost surely, 2^441101416 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 441101416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504576000).

441101416 is an abundant number, since it is smaller than the sum of its proper divisors (568050584).

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

441101416 is a wasteful number, since it uses less digits than its factorization.

441101416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942 (or 5938 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 441101416 is about 21002.4145278585. The cubic root of 441101416 is about 761.2246046552.

The spelling of 441101416 in words is "four hundred forty-one million, one hundred one thousand, four hundred sixteen".