20414113000000 has 196 divisors, whose sum is σ = 53301019300720. Its totient is φ = 7735867200000.

The previous prime is 20414112999997. The next prime is 20414113000013. The reversal of 20414113000000 is 31141402.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 18462787 + ... + 19537213.

Almost surely, 2^{20414113000000} is an apocalyptic number.

20414113000000 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 20414113000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26650509650360).

20414113000000 is an abundant number, since it is smaller than the sum of its proper divisors (32886906300720).

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

20414113000000 is an frugal number, since it uses more digits than its factorization.

20414113000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074488 (or 1074453 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20414113000000 its reverse (31141402), we get a palindrome (20414144141402).

The spelling of 20414113000000 in words is "twenty trillion, four hundred fourteen billion, one hundred thirteen million", and thus it is an aban number.