20414202043200 has 336 divisors, whose sum is σ = 77512452218880. Its totient is φ = 4607038126080.

The previous prime is 20414202043057. The next prime is 20414202043211. The reversal of 20414202043200 is 234020241402.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1190952 + ... + 6499751.

It is an arithmetic number, because the mean of its divisors is an integer number (230691822080).

Almost surely, 2^{20414202043200} is an apocalyptic number.

20414202043200 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 20414202043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38756226109440).

20414202043200 is an abundant number, since it is smaller than the sum of its proper divisors (57098250175680).

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

20414202043200 is a wasteful number, since it uses less digits than its factorization.

20414202043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7690814 (or 7690799 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20414202043200 its reverse (234020241402), we get a palindrome (20648222284602).

The spelling of 20414202043200 in words is "twenty trillion, four hundred fourteen billion, two hundred two million, forty-three thousand, two hundred".