444310114413200 has 120 divisors (see below), whose sum is σ = 1219956327387072. Its totient is φ = 152333935004160.

The previous prime is 444310114413149. The next prime is 444310114413211. The reversal of 444310114413200 is 2314411013444.

It is a super-2 number, since 2×444310114413200² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552169562 + ... + 552973638.

Almost surely, 2^{444310114413200} is an apocalyptic number.

444310114413200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444310114413200 is an abundant number, since it is smaller than the sum of its proper divisors (775646212973872).

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

444310114413200 is a wasteful number, since it uses less digits than its factorization.

444310114413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001449 (or 1001438 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 444310114413200 its reverse (2314411013444), we get a palindrome (446624525426644).

The spelling of 444310114413200 in words is "four hundred forty-four trillion, three hundred ten billion, one hundred fourteen million, four hundred thirteen thousand, two hundred".