441012323210144 has 48 divisors (see below), whose sum is σ = 994250446616448. Its totient is φ = 188629525300992.

The previous prime is 441012323210131. The next prime is 441012323210149.

441012323210144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 441012323210144.

It is not an unprimeable number, because it can be changed into a prime (441012323210149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1956949967 + ... + 1957175310.

It is an arithmetic number, because the mean of its divisors is an integer number (20713550971176).

Almost surely, 2^{441012323210144} is an apocalyptic number.

It is an amenable number.

441012323210144 is an abundant number, since it is smaller than the sum of its proper divisors (553238123406304).

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

441012323210144 is a wasteful number, since it uses less digits than its factorization.

441012323210144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3914125797 (or 3914125789 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 441012323210144 in words is "four hundred forty-one trillion, twelve billion, three hundred twenty-three million, two hundred ten thousand, one hundred forty-four".