20022414113340 has 288 divisors, whose sum is σ = 63997921495872. Its totient is φ = 5061947904000.

The previous prime is 20022414113333. The next prime is 20022414113371. The reversal of 20022414113340 is 4331141422002.

20022414113340 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 241 + 411 + 3 + 3 + 4 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 37097010 + ... + 37632870.

It is an arithmetic number, because the mean of its divisors is an integer number (222215005194).

Almost surely, 2^{20022414113340} is an apocalyptic number.

20022414113340 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 20022414113340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31998960747936).

20022414113340 is an abundant number, since it is smaller than the sum of its proper divisors (43975507382532).

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

20022414113340 is a wasteful number, since it uses less digits than its factorization.

20022414113340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536061 (or 536056 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 20022414113340 its reverse (4331141422002), we get a palindrome (24353555535342).

The spelling of 20022414113340 in words is "twenty trillion, twenty-two billion, four hundred fourteen million, one hundred thirteen thousand, three hundred forty".