255104240431040 has 448 divisors, whose sum is σ = 815687596846080. Its totient is φ = 73390541045760.

The previous prime is 255104240431031. The next prime is 255104240431067. The reversal of 255104240431040 is 40134042401552.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5089539419 + ... + 5089589541.

It is an arithmetic number, because the mean of its divisors is an integer number (1820731242960).

Almost surely, 2^{255104240431040} is an apocalyptic number.

255104240431040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255104240431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407843798423040).

255104240431040 is an abundant number, since it is smaller than the sum of its proper divisors (560583356415040).

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

255104240431040 is a wasteful number, since it uses less digits than its factorization.

255104240431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66060 (or 66050 counting only the distinct ones).

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

Adding to 255104240431040 its reverse (40134042401552), we get a palindrome (295238282832592).

The spelling of 255104240431040 in words is "two hundred fifty-five trillion, one hundred four billion, two hundred forty million, four hundred thirty-one thousand, forty".