21351205413441 has 80 divisors (see below), whose sum is σ = 33698111832000. Its totient is φ = 13435027016832.

The previous prime is 21351205413427. The next prime is 21351205413451. The reversal of 21351205413441 is 14431450215312.

21351205413441 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 1 + 205 + 4 + 1 + 3 + 441 = 666.

It is not a de Polignac number, because 21351205413441 - 2⁵ = 21351205413409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21351205413396 and 21351205413405.

It is not an unprimeable number, because it can be changed into a prime (21351205413451) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2840385415 + ... + 2840392931.

It is an arithmetic number, because the mean of its divisors is an integer number (421226397900).

Almost surely, 2^{21351205413441} is an apocalyptic number.

It is an amenable number.

21351205413441 is a deficient number, since it is larger than the sum of its proper divisors (12346906418559).

21351205413441 is a wasteful number, since it uses less digits than its factorization.

21351205413441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14140 (or 14131 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 21351205413441 its reverse (14431450215312), we get a palindrome (35782655628753).

The spelling of 21351205413441 in words is "twenty-one trillion, three hundred fifty-one billion, two hundred five million, four hundred thirteen thousand, four hundred forty-one".