441406058800 has 120 divisors (see below), whose sum is σ = 1212409900800. Its totient is φ = 151284906240.

The previous prime is 441406058773. The next prime is 441406058803. The reversal of 441406058800 is 8850604144.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (441406058803) 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, 8202381 + ... + 8256019.

It is an arithmetic number, because the mean of its divisors is an integer number (10103415840).

Almost surely, 2^441406058800 is an apocalyptic number.

441406058800 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 441406058800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606204950400).

441406058800 is an abundant number, since it is smaller than the sum of its proper divisors (771003842000).

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

441406058800 is a wasteful number, since it uses less digits than its factorization.

441406058800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56603 (or 56592 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 441406058800 in words is "four hundred forty-one billion, four hundred six million, fifty-eight thousand, eight hundred".