252441544304000 has 128 divisors (see below), whose sum is σ = 627773033160000. Its totient is φ = 100954054656000.

The previous prime is 252441544303967. The next prime is 252441544304009. The reversal of 252441544304000 is 403445144252.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252441544304009) 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 15 ways as a sum of consecutive naturals, for example, 69935501 + ... + 73456499.

Almost surely, 2^{252441544304000} is an apocalyptic number.

252441544304000 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 252441544304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313886516580000).

252441544304000 is an abundant number, since it is smaller than the sum of its proper divisors (375331488856000).

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

252441544304000 is an equidigital number, since it uses as much as digits as its factorization.

252441544304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525509 (or 3525487 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 38.

Adding to 252441544304000 its reverse (403445144252), we get a palindrome (252844989448252).

The spelling of 252441544304000 in words is "two hundred fifty-two trillion, four hundred forty-one billion, five hundred forty-four million, three hundred four thousand".