253144410144000 has 288 divisors, whose sum is σ = 847439822401536. Its totient is φ = 66973635993600.

The previous prime is 253144410143941. The next prime is 253144410144097. The reversal of 253144410144000 is 441014441352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1810422 + ... + 22573578.

Almost surely, 2^{253144410144000} is an apocalyptic number.

253144410144000 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 253144410144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423719911200768).

253144410144000 is an abundant number, since it is smaller than the sum of its proper divisors (594295412257536).

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

253144410144000 is a wasteful number, since it uses less digits than its factorization.

253144410144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20763318 (or 20763294 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 253144410144000 its reverse (441014441352), we get a palindrome (253585424585352).

The spelling of 253144410144000 in words is "two hundred fifty-three trillion, one hundred forty-four billion, four hundred ten million, one hundred forty-four thousand".