21130414461 has 32 divisors (see below), whose sum is σ = 33761517440. Its totient is φ = 12984364800.

The previous prime is 21130414429. The next prime is 21130414499. The reversal of 21130414461 is 16441403112.

21130414461 is a `hidden beast` number, since 211 + 3 + 0 + 4 + 1 + 446 + 1 = 666.

It is not a de Polignac number, because 21130414461 - 2⁵ = 21130414429 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21130414421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198981 + ... + 286101.

It is an arithmetic number, because the mean of its divisors is an integer number (1055047420).

Almost surely, 2^21130414461 is an apocalyptic number.

It is an amenable number.

21130414461 is a deficient number, since it is larger than the sum of its proper divisors (12631102979).

21130414461 is a wasteful number, since it uses less digits than its factorization.

21130414461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87834 (or 87828 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 21130414461 its reverse (16441403112), we get a palindrome (37571817573).

The spelling of 21130414461 in words is "twenty-one billion, one hundred thirty million, four hundred fourteen thousand, four hundred sixty-one".