255641392406400 has 1152 divisors, whose sum is σ = 1150731339730560. Its totient is φ = 49034100326400.

The previous prime is 255641392406333. The next prime is 255641392406401. The reversal of 255641392406400 is 4604293146552.

It is a super-2 number, since 2×255641392406400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255641392406401) 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 143 ways as a sum of consecutive naturals, for example, 65367007 + ... + 69167393.

It is an arithmetic number, because the mean of its divisors is an integer number (998898732405).

Almost surely, 2^{255641392406400} is an apocalyptic number.

255641392406400 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 255641392406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575365669865280).

255641392406400 is an abundant number, since it is smaller than the sum of its proper divisors (895089947324160).

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

255641392406400 is a wasteful number, since it uses less digits than its factorization.

255641392406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800452 (or 3800428 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 255641392406400 in words is "two hundred fifty-five trillion, six hundred forty-one billion, three hundred ninety-two million, four hundred six thousand, four hundred".