444225142452000 has 3072 divisors, whose sum is σ = 1872019073433600. Its totient is φ = 89603407872000.

The previous prime is 444225142451933. The next prime is 444225142452017. The reversal of 444225142452000 is 254241522444.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 444225142452000.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 650402843659 + ... + 650402844341.

It is an arithmetic number, because the mean of its divisors is an integer number (609381208800).

Almost surely, 2^{444225142452000} is an apocalyptic number.

444225142452000 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 444225142452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936009536716800).

444225142452000 is an abundant number, since it is smaller than the sum of its proper divisors (1427793930981600).

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

444225142452000 is a wasteful number, since it uses less digits than its factorization.

444225142452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 39.

Adding to 444225142452000 its reverse (254241522444), we get a palindrome (444479383974444).

The spelling of 444225142452000 in words is "four hundred forty-four trillion, two hundred twenty-five billion, one hundred forty-two million, four hundred fifty-two thousand".