444431404000 has 96 divisors (see below), whose sum is σ = 1102570612416. Its totient is φ = 176046451200.

The previous prime is 444431403989. The next prime is 444431404003. The reversal of 444431404000 is 404134444.

It is a super-2 number, since 2×444431404000² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444431404000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444431404003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127359 + ... + 951358.

It is an arithmetic number, because the mean of its divisors is an integer number (11485110546).

Almost surely, 2^444431404000 is an apocalyptic number.

444431404000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444431404000 is an abundant number, since it is smaller than the sum of its proper divisors (658139208416).

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

444431404000 is a wasteful number, since it uses less digits than its factorization.

444431404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078845 (or 1078827 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 444431404000 its reverse (404134444), we get a palindrome (444835538444).

The spelling of 444431404000 in words is "four hundred forty-four billion, four hundred thirty-one million, four hundred four thousand".