20041666444800 has 5760 divisors, whose sum is σ = 102954268505088. Its totient is φ = 3726508032000.

The previous prime is 20041666444783. The next prime is 20041666444829. The reversal of 20041666444800 is 844466614002.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 127653926322 + ... + 127653926478.

Almost surely, 2^{20041666444800} is an apocalyptic number.

20041666444800 is a gapful number since it is divisible by the number (20) 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 20041666444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51477134252544).

20041666444800 is an abundant number, since it is smaller than the sum of its proper divisors (82912602060288).

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

20041666444800 is a wasteful number, since it uses less digits than its factorization.

20041666444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 20041666444800 in words is "twenty trillion, forty-one billion, six hundred sixty-six million, four hundred forty-four thousand, eight hundred".