254401111024001 has 8 divisors (see below), whose sum is σ = 259570891128744. Its totient is φ = 249245025702400.

The previous prime is 254401111023991. The next prime is 254401111024009. The reversal of 254401111024001 is 100420111104452.

It is a happy number.

254401111024001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 54474378216976 + 199926732807025 = 7380676^2 + 14139545^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 254401111024001 - 2⁶ = 254401111023937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (254401111024009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3423658256 + ... + 3423732561.

It is an arithmetic number, because the mean of its divisors is an integer number (32446361391093).

Almost surely, 2^{254401111024001} is an apocalyptic number.

It is an amenable number.

254401111024001 is a deficient number, since it is larger than the sum of its proper divisors (5169780104743).

254401111024001 is an equidigital number, since it uses as much as digits as its factorization.

254401111024001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6847391571.

The product of its (nonzero) digits is 1280, while the sum is 26.

Adding to 254401111024001 its reverse (100420111104452), we get a palindrome (354821222128453).

The spelling of 254401111024001 in words is "two hundred fifty-four trillion, four hundred one billion, one hundred eleven million, twenty-four thousand, one".