444402102100 has 144 divisors (see below), whose sum is σ = 1058607244800. Its totient is φ = 160591536000.

The previous prime is 444402102071. The next prime is 444402102211. The reversal of 444402102100 is 1201204444.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236508961 + ... + 236510839.

It is an arithmetic number, because the mean of its divisors is an integer number (7351439200).

Almost surely, 2^444402102100 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 444402102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529303622400).

444402102100 is an abundant number, since it is smaller than the sum of its proper divisors (614205142700).

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

444402102100 is a wasteful number, since it uses less digits than its factorization.

444402102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 444402102100 its reverse (1201204444), we get a palindrome (445603306544).

The spelling of 444402102100 in words is "four hundred forty-four billion, four hundred two million, one hundred two thousand, one hundred".