8401272461 has 2 divisors, whose sum is σ = 8401272462. Its totient is φ = 8401272460.

The previous prime is 8401272433. The next prime is 8401272469. The reversal of 8401272461 is 1642721048.

8401272461 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8123416900 + 277855561 = 90130^2 + 16669^2 .

It is a cyclic number.

It is not a de Polignac number, because 8401272461 - 2¹⁴ = 8401256077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8401272469) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4200636230 + 4200636231.

It is an arithmetic number, because the mean of its divisors is an integer number (4200636231).

Almost surely, 2^8401272461 is an apocalyptic number.

It is an amenable number.

8401272461 is a deficient number, since it is larger than the sum of its proper divisors (1).

8401272461 is an equidigital number, since it uses as much as digits as its factorization.

8401272461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 8401272461 is about 91658.4554801138. The cubic root of 8401272461 is about 2032.8953532666.

The spelling of 8401272461 in words is "eight billion, four hundred one million, two hundred seventy-two thousand, four hundred sixty-one".