20411240419200 has 192 divisors, whose sum is σ = 67361620834800. Its totient is φ = 5432302632960.

The previous prime is 20411240419189. The next prime is 20411240419201. The reversal of 20411240419200 is 291404211402.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20411240419201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2797824 + ... + 6974976.

Almost surely, 2^{20411240419200} is an apocalyptic number.

20411240419200 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 20411240419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33680810417400).

20411240419200 is an abundant number, since it is smaller than the sum of its proper divisors (46950380415600).

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

20411240419200 is a wasteful number, since it uses less digits than its factorization.

20411240419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4177689 (or 4177672 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 20411240419200 in words is "twenty trillion, four hundred eleven billion, two hundred forty million, four hundred nineteen thousand, two hundred".