253242333440000 has 480 divisors, whose sum is σ = 648108332071200. Its totient is φ = 98865930240000.

The previous prime is 253242333439903. The next prime is 253242333440017. The reversal of 253242333440000 is 44333242352.

It is a super-2 number, since 2×253242333440000² (a number of 30 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 9347826455 + ... + 9347853545.

It is an arithmetic number, because the mean of its divisors is an integer number (1350225691815).

Almost surely, 2^{253242333440000} is an apocalyptic number.

253242333440000 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 253242333440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324054166035600).

253242333440000 is an abundant number, since it is smaller than the sum of its proper divisors (394865998631200).

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

253242333440000 is an equidigital number, since it uses as much as digits as its factorization.

253242333440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27309 (or 27274 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 35.

Adding to 253242333440000 its reverse (44333242352), we get a palindrome (253286666682352).

The spelling of 253242333440000 in words is "two hundred fifty-three trillion, two hundred forty-two billion, three hundred thirty-three million, four hundred forty thousand".