424444324404100 has 288 divisors, whose sum is σ = 1238523479424000. Its totient is φ = 121932520819200.

The previous prime is 424444324404091. The next prime is 424444324404211. The reversal of 424444324404100 is 1404423444424.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62748751 + ... + 69183049.

It is an arithmetic number, because the mean of its divisors is an integer number (4300428748000).

Almost surely, 2^{424444324404100} 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 424444324404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619261739712000).

424444324404100 is an abundant number, since it is smaller than the sum of its proper divisors (814079155019900).

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

424444324404100 is a wasteful number, since it uses less digits than its factorization.

424444324404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6435003 (or 6434996 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 40.

Adding to 424444324404100 its reverse (1404423444424), we get a palindrome (425848747848524).

It can be divided in two parts, 424444324 and 404100, that added together give a palindrome (424848424).

The spelling of 424444324404100 in words is "four hundred twenty-four trillion, four hundred forty-four billion, three hundred twenty-four million, four hundred four thousand, one hundred".