441380125152 has 144 divisors (see below), whose sum is σ = 1310075544960. Its totient is φ = 140694656256.

The previous prime is 441380125097. The next prime is 441380125159. The reversal of 441380125152 is 251521083144.

441380125152 is a `hidden beast` number, since 4 + 4 + 1 + 380 + 125 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441380125159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43839223 + ... + 43849289.

It is an arithmetic number, because the mean of its divisors is an integer number (9097746840).

Almost surely, 2^441380125152 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 441380125152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655037772480).

441380125152 is an abundant number, since it is smaller than the sum of its proper divisors (868695419808).

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

441380125152 is a wasteful number, since it uses less digits than its factorization.

441380125152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16725 (or 16714 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 441380125152 in words is "four hundred forty-one billion, three hundred eighty million, one hundred twenty-five thousand, one hundred fifty-two".