21788142401 has 2 divisors, whose sum is σ = 21788142402. Its totient is φ = 21788142400.

The previous prime is 21788142377. The next prime is 21788142413. The reversal of 21788142401 is 10424188712.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21427104400 + 361038001 = 146380^2 + 19001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21788142401 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (21788142451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10894071200 + 10894071201.

It is an arithmetic number, because the mean of its divisors is an integer number (10894071201).

Almost surely, 2^21788142401 is an apocalyptic number.

It is an amenable number.

21788142401 is a deficient number, since it is larger than the sum of its proper divisors (1).

21788142401 is an equidigital number, since it uses as much as digits as its factorization.

21788142401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28672, while the sum is 38.

The spelling of 21788142401 in words is "twenty-one billion, seven hundred eighty-eight million, one hundred forty-two thousand, four hundred one".