1444457428600 has 48 divisors (see below), whose sum is σ = 3359179195200. Its totient is φ = 577642640640.

The previous prime is 1444457428543. The next prime is 1444457428619. The reversal of 1444457428600 is 68247544441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49605 + ... + 1700404.

It is an arithmetic number, because the mean of its divisors is an integer number (69982899900).

Almost surely, 2^{1444457428600} is an apocalyptic number.

1444457428600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444457428600 is an abundant number, since it is smaller than the sum of its proper divisors (1914721766600).

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

1444457428600 is a wasteful number, since it uses less digits than its factorization.

1444457428600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754152 (or 1754143 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 49.

The spelling of 1444457428600 in words is "one trillion, four hundred forty-four billion, four hundred fifty-seven million, four hundred twenty-eight thousand, six hundred".