444023341340000 has 240 divisors, whose sum is σ = 1103776630952688. Its totient is φ = 175754244096000.

The previous prime is 444023341339993. The next prime is 444023341340027. The reversal of 444023341340000 is 43143320444.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 39 ways as a sum of consecutive naturals, for example, 22478770124 + ... + 22478789876.

Almost surely, 2^{444023341340000} is an apocalyptic number.

444023341340000 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 444023341340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551888315476344).

444023341340000 is an abundant number, since it is smaller than the sum of its proper divisors (659753289612688).

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

444023341340000 is a wasteful number, since it uses less digits than its factorization.

444023341340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31467 (or 31444 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 444023341340000 its reverse (43143320444), we get a palindrome (444066484660444).

The spelling of 444023341340000 in words is "four hundred forty-four trillion, twenty-three billion, three hundred forty-one million, three hundred forty thousand".