443402401132420 has 72 divisors (see below), whose sum is σ = 989345811681864. Its totient is φ = 166893269581824.

The previous prime is 443402401132277. The next prime is 443402401132433. The reversal of 443402401132420 is 24231104204344.

It can be written as a sum of positive squares in 12 ways, for example, as 45422962998336 + 397979438134084 = 6739656^2 + 19949422^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19849764 + ... + 35788516.

It is an arithmetic number, because the mean of its divisors is an integer number (13740914051137).

Almost surely, 2^{443402401132420} 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 443402401132420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494672905840932).

443402401132420 is an abundant number, since it is smaller than the sum of its proper divisors (545943410549444).

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

443402401132420 is a wasteful number, since it uses less digits than its factorization.

443402401132420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15943609 (or 15943590 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 443402401132420 its reverse (24231104204344), we get a palindrome (467633505336764).

The spelling of 443402401132420 in words is "four hundred forty-three trillion, four hundred two billion, four hundred one million, one hundred thirty-two thousand, four hundred twenty".