441810946440 has 192 divisors, whose sum is σ = 1441444118400. Its totient is φ = 117360946176.

The previous prime is 441810946427. The next prime is 441810946459. The reversal of 441810946440 is 44649018144.

It is a happy number.

441810946440 is a `hidden beast` number, since 4 + 4 + 181 + 0 + 9 + 464 + 4 + 0 = 666.

441810946440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230950924 + ... + 230952836.

It is an arithmetic number, because the mean of its divisors is an integer number (7507521450).

Almost surely, 2^441810946440 is an apocalyptic number.

441810946440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441810946440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720722059200).

441810946440 is an abundant number, since it is smaller than the sum of its proper divisors (999633171960).

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

441810946440 is a wasteful number, since it uses less digits than its factorization.

441810946440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 441810946440 in words is "four hundred forty-one billion, eight hundred ten million, nine hundred forty-six thousand, four hundred forty".