444201242100 has 288 divisors, whose sum is σ = 1618228426752. Its totient is φ = 91387200000.

The previous prime is 444201242087. The next prime is 444201242123. The reversal of 444201242100 is 1242102444.

It is a congruent number.

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, 2237905 + ... + 2428295.

It is an arithmetic number, because the mean of its divisors is an integer number (5618848704).

Almost surely, 2^444201242100 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 444201242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809114213376).

444201242100 is an abundant number, since it is smaller than the sum of its proper divisors (1174027184652).

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

444201242100 is a wasteful number, since it uses less digits than its factorization.

444201242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190527 (or 190520 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 444201242100 its reverse (1242102444), we get a palindrome (445443344544).

The spelling of 444201242100 in words is "four hundred forty-four billion, two hundred one million, two hundred forty-two thousand, one hundred".