20241320000000 has 640 divisors, whose sum is σ = 55673435600640. Its totient is φ = 7290880000000.

The previous prime is 20241319999997. The next prime is 20241320000017. The reversal of 20241320000000 is 2314202.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×20241320000000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20241320000000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78759999872 + ... + 78760000128.

It is an arithmetic number, because the mean of its divisors is an integer number (86989743126).

Almost surely, 2^{20241320000000} is an apocalyptic number.

20241320000000 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 20241320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27836717800320).

20241320000000 is an abundant number, since it is smaller than the sum of its proper divisors (35432115600640).

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

20241320000000 is an frugal number, since it uses more digits than its factorization.

20241320000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 20241320000000 its reverse (2314202), we get a palindrome (20241322314202).

The spelling of 20241320000000 in words is "twenty trillion, two hundred forty-one billion, three hundred twenty million", and thus it is an aban number.