20041714114560 has 672 divisors, whose sum is σ = 74388981391920. Its totient is φ = 4973421133824.

The previous prime is 20041714114549. The next prime is 20041714114561. The reversal of 20041714114560 is 6541141714002.

20041714114560 is a `hidden beast` number, since 2 + 0 + 0 + 41 + 7 + 1 + 41 + 14 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10425562730496 + 9616151384064 = 3228864^2 + 3100992^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20041714114561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557734354 + ... + 557770286.

Almost surely, 2^{20041714114560} is an apocalyptic number.

20041714114560 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 20041714114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37194490695960).

20041714114560 is an abundant number, since it is smaller than the sum of its proper divisors (54347267277360).

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

20041714114560 is a wasteful number, since it uses less digits than its factorization.

20041714114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36076 (or 36049 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 20041714114560 its reverse (6541141714002), we get a palindrome (26582855828562).

The spelling of 20041714114560 in words is "twenty trillion, forty-one billion, seven hundred fourteen million, one hundred fourteen thousand, five hundred sixty".