444130242100 has 72 divisors (see below), whose sum is σ = 1017208401440. Its totient is φ = 167850506880.

The previous prime is 444130242067. The next prime is 444130242107. The reversal of 444130242100 is 1242031444.

It is a super-2 number, since 2×444130242100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444130242107) 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, 395359 + ... + 1022041.

Almost surely, 2^444130242100 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 444130242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508604200720).

444130242100 is an abundant number, since it is smaller than the sum of its proper divisors (573078159340).

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

444130242100 is a wasteful number, since it uses less digits than its factorization.

444130242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627089 (or 627082 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 444130242100 its reverse (1242031444), we get a palindrome (445372273544).

The spelling of 444130242100 in words is "four hundred forty-four billion, one hundred thirty million, two hundred forty-two thousand, one hundred".