20321442240000 has 800 divisors, whose sum is σ = 75518340695424. Its totient is φ = 4811735040000.

The previous prime is 20321442239951. The next prime is 20321442240053. The reversal of 20321442240000 is 4224412302.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×20321442240000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 79 ways as a sum of consecutive naturals, for example, 454057624 + ... + 454102376.

Almost surely, 2^{20321442240000} is an apocalyptic number.

20321442240000 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 20321442240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37759170347712).

20321442240000 is an abundant number, since it is smaller than the sum of its proper divisors (55196898455424).

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

20321442240000 is an equidigital number, since it uses as much as digits as its factorization.

20321442240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44848 (or 44817 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20321442240000 its reverse (4224412302), we get a palindrome (20325666652302).

The spelling of 20321442240000 in words is "twenty trillion, three hundred twenty-one billion, four hundred forty-two million, two hundred forty thousand".