253104201440 has 96 divisors (see below), whose sum is σ = 629671825440. Its totient is φ = 95876352000.

The previous prime is 253104201433. The next prime is 253104201479. The reversal of 253104201440 is 44102401352.

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 15 ways as a sum of consecutive naturals, for example, 8682890 + ... + 8711990.

It is an arithmetic number, because the mean of its divisors is an integer number (6559081515).

Almost surely, 2^253104201440 is an apocalyptic number.

253104201440 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 253104201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314835912720).

253104201440 is an abundant number, since it is smaller than the sum of its proper divisors (376567624000).

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

253104201440 is a wasteful number, since it uses less digits than its factorization.

253104201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31996 (or 31988 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 253104201440 its reverse (44102401352), we get a palindrome (297206602792).

The spelling of 253104201440 in words is "two hundred fifty-three billion, one hundred four million, two hundred one thousand, four hundred forty".