444668899046400 has 3168 divisors, whose sum is σ = 2001285219548160. Its totient is φ = 95561998663680.

The previous prime is 444668899046357. The next prime is 444668899046431. The reversal of 444668899046400 is 4640998866444.

It is a happy number.

444668899046400 is a `hidden beast` number, since 4 + 4 + 46 + 68 + 89 + 9 + 0 + 46 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 287 ways as a sum of consecutive naturals, for example, 113349194839 + ... + 113349198761.

Almost surely, 2^{444668899046400} is an apocalyptic number.

444668899046400 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 444668899046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000642609774080).

444668899046400 is an abundant number, since it is smaller than the sum of its proper divisors (1556616320501760).

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

444668899046400 is a wasteful number, since it uses less digits than its factorization.

444668899046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 1146617856, while the sum is 72.

The spelling of 444668899046400 in words is "four hundred forty-four trillion, six hundred sixty-eight billion, eight hundred ninety-nine million, forty-six thousand, four hundred".