254433110401 has 16 divisors (see below), whose sum is σ = 270331254144. Its totient is φ = 238639774464.

The previous prime is 254433110389. The next prime is 254433110411. The reversal of 254433110401 is 104011334452.

254433110401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 254433110401 - 2⁵ = 254433110369 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 254433110401.

It is not an unprimeable number, because it can be changed into a prime (254433110411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6404140 + ... + 6443746.

It is an arithmetic number, because the mean of its divisors is an integer number (16895703384).

Almost surely, 2^254433110401 is an apocalyptic number.

It is an amenable number.

254433110401 is a deficient number, since it is larger than the sum of its proper divisors (15898143743).

254433110401 is a wasteful number, since it uses less digits than its factorization.

254433110401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40920.

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 254433110401 its reverse (104011334452), we get a palindrome (358444444853).

The spelling of 254433110401 in words is "two hundred fifty-four billion, four hundred thirty-three million, one hundred ten thousand, four hundred one".