444005042200 has 48 divisors (see below), whose sum is σ = 1032358344480. Its totient is φ = 177593996160.

The previous prime is 444005042179. The next prime is 444005042233. The reversal of 444005042200 is 2240500444.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6568977 + ... + 6636223.

It is an arithmetic number, because the mean of its divisors is an integer number (21507465510).

Almost surely, 2^444005042200 is an apocalyptic number.

444005042200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444005042200 is an abundant number, since it is smaller than the sum of its proper divisors (588353302280).

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

444005042200 is a wasteful number, since it uses less digits than its factorization.

444005042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100276 (or 100267 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

Adding to 444005042200 its reverse (2240500444), we get a palindrome (446245542644).

The spelling of 444005042200 in words is "four hundred forty-four billion, five million, forty-two thousand, two hundred".