21141404242020 has 288 divisors, whose sum is σ = 66579249784320. Its totient is φ = 5423729525760.

The previous prime is 21141404241973. The next prime is 21141404242027. The reversal of 21141404242020 is 2024240414112.

21141404242020 is a `hidden beast` number, since 2 + 1 + 1 + 414 + 0 + 4 + 242 + 0 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (21141404242027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1843024885 + ... + 1843036355.

It is an arithmetic number, because the mean of its divisors is an integer number (231177950640).

Almost surely, 2^{21141404242020} is an apocalyptic number.

21141404242020 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 21141404242020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33289624892160).

21141404242020 is an abundant number, since it is smaller than the sum of its proper divisors (45437845542300).

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

21141404242020 is a wasteful number, since it uses less digits than its factorization.

21141404242020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12755 (or 12750 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 21141404242020 its reverse (2024240414112), we get a palindrome (23165644656132).

The spelling of 21141404242020 in words is "twenty-one trillion, one hundred forty-one billion, four hundred four million, two hundred forty-two thousand, twenty".