255140015134400 has 504 divisors, whose sum is σ = 711581083291680. Its totient is φ = 89915443200000.

The previous prime is 255140015134399. The next prime is 255140015134423. The reversal of 255140015134400 is 4431510041552.

It is a happy number.

It is a super-2 number, since 2×255140015134400² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1198471166 + ... + 1198684034.

Almost surely, 2^{255140015134400} is an apocalyptic number.

255140015134400 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 255140015134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355790541645840).

255140015134400 is an abundant number, since it is smaller than the sum of its proper divisors (456441068157280).

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

255140015134400 is a wasteful number, since it uses less digits than its factorization.

255140015134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213105 (or 213079 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 255140015134400 its reverse (4431510041552), we get a palindrome (259571525175952).

The spelling of 255140015134400 in words is "two hundred fifty-five trillion, one hundred forty billion, fifteen million, one hundred thirty-four thousand, four hundred".