441167105201472 has 168 divisors, whose sum is σ = 1361949417279360. Its totient is φ = 135728538854400.

The previous prime is 441167105201453. The next prime is 441167105201519. The reversal of 441167105201472 is 274102501761144.

It is a happy number.

441167105201472 is a `hidden beast` number, since 4 + 4 + 1 + 16 + 71 + 0 + 520 + 1 + 47 + 2 = 666.

It is a congruent number.

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, 63734029 + ... + 70316147.

It is an arithmetic number, because the mean of its divisors is an integer number (8106841769520).

Almost surely, 2^{441167105201472} 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 441167105201472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680974708639680).

441167105201472 is an abundant number, since it is smaller than the sum of its proper divisors (920782312077888).

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

441167105201472 is a wasteful number, since it uses less digits than its factorization.

441167105201472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6591101 (or 6591088 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 441167105201472 in words is "four hundred forty-one trillion, one hundred sixty-seven billion, one hundred five million, two hundred one thousand, four hundred seventy-two".