444030133420000 has 120 divisors (see below), whose sum is σ = 1092535393950000. Its totient is φ = 177586906752000.

The previous prime is 444030133419991. The next prime is 444030133420007. The reversal of 444030133420000 is 24331030444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444030133420007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 140011876 + ... + 143148124.

It is an arithmetic number, because the mean of its divisors is an integer number (9104461616250).

Almost surely, 2^{444030133420000} is an apocalyptic number.

444030133420000 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 444030133420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546267696975000).

444030133420000 is an abundant number, since it is smaller than the sum of its proper divisors (648505260530000).

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

444030133420000 is an equidigital number, since it uses as much as digits as its factorization.

444030133420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3143358 (or 3143335 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 444030133420000 its reverse (24331030444), we get a palindrome (444054464450444).

The spelling of 444030133420000 in words is "four hundred forty-four trillion, thirty billion, one hundred thirty-three million, four hundred twenty thousand".