262400000000000 has 432 divisors, whose sum is σ = 671997433770936. Its totient is φ = 102400000000000.

The previous prime is 262399999999993. The next prime is 262400000000009. The reversal of 262400000000000 is 4262.

It can be written as a sum of positive squares in 12 ways, for example, as 19634682658816 + 242765317341184 = 4431104^2 + 15580928^2 .

It is a junction number, because it is equal to n+sod(n) for n = 262399999999894 and 262399999999903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (262400000000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6399999999980 + ... + 6400000000020.

Almost surely, 2^{262400000000000} is an apocalyptic number.

262400000000000 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 262400000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335998716885468).

262400000000000 is an abundant number, since it is smaller than the sum of its proper divisors (409597433770936).

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

262400000000000 is an frugal number, since it uses more digits than its factorization.

262400000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 262400000000000 its reverse (4262), we get a palindrome (262400000004262).

The spelling of 262400000000000 in words is "two hundred sixty-two trillion, four hundred billion", and thus it is an aban number.