444141444100 has 72 divisors (see below), whose sum is σ = 1021232136960. Its totient is φ = 167083000320.

The previous prime is 444141444077. The next prime is 444141444127. The reversal of 444141444100 is 1444141444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2228341 + ... + 2419459.

It is an arithmetic number, because the mean of its divisors is an integer number (14183779680).

Almost surely, 2^444141444100 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 444141444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510616068480).

444141444100 is an abundant number, since it is smaller than the sum of its proper divisors (577090692860).

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

444141444100 is a wasteful number, since it uses less digits than its factorization.

444141444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192517 (or 192510 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 444141444100 its reverse (1444141444), we get a palindrome (445585585544).

The spelling of 444141444100 in words is "four hundred forty-four billion, one hundred forty-one million, four hundred forty-four thousand, one hundred".