444043444113000 has 192 divisors, whose sum is σ = 1514148852013200. Its totient is φ = 117363694694400.

The previous prime is 444043444112953. The next prime is 444043444113019. The reversal of 444043444113000 is 311444340444.

444043444113000 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 4 + 344 + 4 + 1 + 1 + 300 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 108177930343044 + 335865513769956 = 10400862^2 + 18326634^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 217293445 + ... + 219327444.

Almost surely, 2^{444043444113000} is an apocalyptic number.

444043444113000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444043444113000 is an abundant number, since it is smaller than the sum of its proper divisors (1070105407900200).

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

444043444113000 is a wasteful number, since it uses less digits than its factorization.

444043444113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436621029 (or 436621012 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 444043444113000 its reverse (311444340444), we get a palindrome (444354888453444).

The spelling of 444043444113000 in words is "four hundred forty-four trillion, forty-three billion, four hundred forty-four million, one hundred thirteen thousand".