444234432101100 has 72 divisors (see below), whose sum is σ = 1285746589482768. Its totient is φ = 118423040640000.

The previous prime is 444234432101051. The next prime is 444234432101153. The reversal of 444234432101100 is 1101234432444.

It is a happy number.

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, 245814369 + ... + 247614968.

It is an arithmetic number, because the mean of its divisors is an integer number (17857591520594).

Almost surely, 2^{444234432101100} is an apocalyptic number.

It is an amenable number.

444234432101100 is an abundant number, since it is smaller than the sum of its proper divisors (841512157381668).

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

444234432101100 is a wasteful number, since it uses less digits than its factorization.

444234432101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493432355 (or 493432348 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 444234432101100 its reverse (1101234432444), we get a palindrome (445335666533544).

The spelling of 444234432101100 in words is "four hundred forty-four trillion, two hundred thirty-four billion, four hundred thirty-two million, one hundred one thousand, one hundred".