444114332042200 has 96 divisors (see below), whose sum is σ = 1068183801280800. Its totient is φ = 171518049059840.

The previous prime is 444114332042149. The next prime is 444114332042237. The reversal of 444114332042200 is 2240233411444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568340157 + ... + 569121043.

It is an arithmetic number, because the mean of its divisors is an integer number (11126914596675).

Almost surely, 2^{444114332042200} is an apocalyptic number.

444114332042200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444114332042200 is an abundant number, since it is smaller than the sum of its proper divisors (624069469238600).

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

444114332042200 is a wasteful number, since it uses less digits than its factorization.

444114332042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878989 (or 878980 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 444114332042200 its reverse (2240233411444), we get a palindrome (446354565453644).

The spelling of 444114332042200 in words is "four hundred forty-four trillion, one hundred fourteen billion, three hundred thirty-two million, forty-two thousand, two hundred".