20414000413100 has 288 divisors, whose sum is σ = 52137982955520. Its totient is φ = 6792079104000.

The previous prime is 20414000413039. The next prime is 20414000413111. The reversal of 20414000413100 is 131400041402.

It is a super-2 number, since 2×20414000413100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4440720002 + ... + 4440724598.

It is an arithmetic number, because the mean of its divisors is an integer number (181034663040).

Almost surely, 2^{20414000413100} is an apocalyptic number.

20414000413100 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 20414000413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26068991477760).

20414000413100 is an abundant number, since it is smaller than the sum of its proper divisors (31723982542420).

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

20414000413100 is a wasteful number, since it uses less digits than its factorization.

20414000413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5449 (or 5442 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20414000413100 its reverse (131400041402), we get a palindrome (20545400454502).

The spelling of 20414000413100 in words is "twenty trillion, four hundred fourteen billion, four hundred thirteen thousand, one hundred".