444011121404000 has 48 divisors (see below), whose sum is σ = 1090935325299456. Its totient is φ = 177604448560000.

The previous prime is 444011121403919. The next prime is 444011121404009. The reversal of 444011121404000 is 404121110444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444011121404009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 55501386176 + ... + 55501394175.

It is an arithmetic number, because the mean of its divisors is an integer number (22727819277072).

Almost surely, 2^{444011121404000} is an apocalyptic number.

444011121404000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444011121404000 is an abundant number, since it is smaller than the sum of its proper divisors (646924203895456).

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

444011121404000 is a wasteful number, since it uses less digits than its factorization.

444011121404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111002780376 (or 111002780358 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 444011121404000 its reverse (404121110444), we get a palindrome (444415242514444).

The spelling of 444011121404000 in words is "four hundred forty-four trillion, eleven billion, one hundred twenty-one million, four hundred four thousand".