531241144000 has 224 divisors, whose sum is σ = 1534257129600. Its totient is φ = 182138880000.

The previous prime is 531241143977. The next prime is 531241144051. The reversal of 531241144000 is 441142135.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2647200 + ... + 2840800.

Almost surely, 2^531241144000 is an apocalyptic number.

531241144000 is a gapful number since it is divisible by the number (50) 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 531241144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767128564800).

531241144000 is an abundant number, since it is smaller than the sum of its proper divisors (1003015985600).

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

531241144000 is an equidigital number, since it uses as much as digits as its factorization.

531241144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193649 (or 193615 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 531241144000 its reverse (441142135), we get a palindrome (531682286135).

The spelling of 531241144000 in words is "five hundred thirty-one billion, two hundred forty-one million, one hundred forty-four thousand".