444431000000 has 392 divisors, whose sum is σ = 1257641089488. Its totient is φ = 154368000000.

The previous prime is 444430999937. The next prime is 444431000021. The reversal of 444431000000 is 134444.

It is a super-2 number, since 2×444431000000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 220998995 + ... + 221001005.

Almost surely, 2^444431000000 is an apocalyptic number.

444431000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444431000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628820544744).

444431000000 is an abundant number, since it is smaller than the sum of its proper divisors (813210089488).

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

444431000000 is an equidigital number, since it uses as much as digits as its factorization.

444431000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 444431000000 its reverse (134444), we get a palindrome (444431134444).

The spelling of 444431000000 in words is "four hundred forty-four billion, four hundred thirty-one million", and thus it is an aban number.