20201324200440 has 128 divisors (see below), whose sum is σ = 61895500600320. Its totient is φ = 5272225011200.

The previous prime is 20201324200391. The next prime is 20201324200459. The reversal of 20201324200440 is 4400242310202.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20201324200440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301204510 + ... + 301271570.

It is an arithmetic number, because the mean of its divisors is an integer number (483558598440).

Almost surely, 2^{20201324200440} is an apocalyptic number.

20201324200440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201324200440 is an abundant number, since it is smaller than the sum of its proper divisors (41694176399880).

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

20201324200440 is a wasteful number, since it uses less digits than its factorization.

20201324200440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120533 (or 120529 counting only the distinct ones).

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

Adding to 20201324200440 its reverse (4400242310202), we get a palindrome (24601566510642).

The spelling of 20201324200440 in words is "twenty trillion, two hundred one billion, three hundred twenty-four million, two hundred thousand, four hundred forty".