135440412214401 has 24 divisors (see below), whose sum is σ = 224742639779840. Its totient is φ = 76993513376256.

The previous prime is 135440412214381. The next prime is 135440412214411. The reversal of 135440412214401 is 104412214044531.

135440412214401 is a `hidden beast` number, since 1 + 3 + 54 + 40 + 4 + 122 + 1 + 440 + 1 = 666.

It is not a de Polignac number, because 135440412214401 - 2⁹ = 135440412213889 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (135440412214411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5569541761 + ... + 5569566078.

Almost surely, 2^{135440412214401} is an apocalyptic number.

It is an amenable number.

135440412214401 is a deficient number, since it is larger than the sum of its proper divisors (89302227565439).

135440412214401 is a wasteful number, since it uses less digits than its factorization.

135440412214401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11139108045 (or 11139108042 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 135440412214401 its reverse (104412214044531), we get a palindrome (239852626258932).

The spelling of 135440412214401 in words is "one hundred thirty-five trillion, four hundred forty billion, four hundred twelve million, two hundred fourteen thousand, four hundred one".