254132440050104 has 128 divisors (see below), whose sum is σ = 608692589568000. Its totient is φ = 96577521792000.

The previous prime is 254132440050067. The next prime is 254132440050133. The reversal of 254132440050104 is 401050044231452.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120155174 + ... + 122251914.

It is an arithmetic number, because the mean of its divisors is an integer number (4755410856000).

Almost surely, 2^{254132440050104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254132440050104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304346294784000).

254132440050104 is an abundant number, since it is smaller than the sum of its proper divisors (354560149517896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

254132440050104 is a wasteful number, since it uses less digits than its factorization.

254132440050104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101605 (or 2101601 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 254132440050104 its reverse (401050044231452), we get a palindrome (655182484281556).

The spelling of 254132440050104 in words is "two hundred fifty-four trillion, one hundred thirty-two billion, four hundred forty million, fifty thousand, one hundred four".