441430404020 has 96 divisors (see below), whose sum is σ = 986243156640. Its totient is φ = 165725429760.

The previous prime is 441430404011. The next prime is 441430404029. The reversal of 441430404020 is 20404034144.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (441430404011) and next prime (441430404029).

It can be written as a sum of positive squares in 16 ways, for example, as 213639932944 + 227790471076 = 462212^2 + 477274^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441430404029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2618522 + ... + 2781998.

It is an arithmetic number, because the mean of its divisors is an integer number (10273366215).

Almost surely, 2^441430404020 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 441430404020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493121578320).

441430404020 is an abundant number, since it is smaller than the sum of its proper divisors (544812752620).

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

441430404020 is a wasteful number, since it uses less digits than its factorization.

441430404020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163653 (or 163651 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 441430404020 its reverse (20404034144), we get a palindrome (461834438164).

The spelling of 441430404020 in words is "four hundred forty-one billion, four hundred thirty million, four hundred four thousand, twenty".