21114042421104 has 200 divisors, whose sum is σ = 61604285029760. Its totient is φ = 6981242256000.

The previous prime is 21114042421099. The next prime is 21114042421159. The reversal of 21114042421104 is 40112424041112.

21114042421104 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 404 + 242 + 1 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135147867 + ... + 135304005.

Almost surely, 2^{21114042421104} is an apocalyptic number.

21114042421104 is a gapful number since it is divisible by the number (24) 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 21114042421104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30802142514880).

21114042421104 is an abundant number, since it is smaller than the sum of its proper divisors (40490242608656).

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

21114042421104 is a wasteful number, since it uses less digits than its factorization.

21114042421104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157001 (or 156986 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 21114042421104 its reverse (40112424041112), we get a palindrome (61226466462216).

The spelling of 21114042421104 in words is "twenty-one trillion, one hundred fourteen billion, forty-two million, four hundred twenty-one thousand, one hundred four".