20212442300440 has 128 divisors (see below), whose sum is σ = 49336455168000. Its totient is φ = 7408192255488.

The previous prime is 20212442300423. The next prime is 20212442300539. The reversal of 20212442300440 is 4400324421202.

It is a junction number, because it is equal to n+sod(n) for n = 20212442300399 and 20212442300408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 552128617 + ... + 552165223.

It is an arithmetic number, because the mean of its divisors is an integer number (385441056000).

Almost surely, 2^{20212442300440} is an apocalyptic number.

20212442300440 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 20212442300440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24668227584000).

20212442300440 is an abundant number, since it is smaller than the sum of its proper divisors (29124012867560).

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

20212442300440 is a wasteful number, since it uses less digits than its factorization.

20212442300440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44409 (or 44405 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 20212442300440 its reverse (4400324421202), we get a palindrome (24612766721642).

The spelling of 20212442300440 in words is "twenty trillion, two hundred twelve billion, four hundred forty-two million, three hundred thousand, four hundred forty".