531331314240 has 112 divisors (see below), whose sum is σ = 1688277568320. Its totient is φ = 141579110400.

The previous prime is 531331314211. The next prime is 531331314271. The reversal of 531331314240 is 42413133135.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 531331314198 and 531331314207.

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 15 ways as a sum of consecutive naturals, for example, 1036251 + ... + 1461669.

It is an arithmetic number, because the mean of its divisors is an integer number (15073906860).

Almost surely, 2^531331314240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531331314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844138784160).

531331314240 is an abundant number, since it is smaller than the sum of its proper divisors (1156946254080).

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

531331314240 is a wasteful number, since it uses less digits than its factorization.

531331314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426740 (or 426730 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 531331314240 its reverse (42413133135), we get a palindrome (573744447375).

The spelling of 531331314240 in words is "five hundred thirty-one billion, three hundred thirty-one million, three hundred fourteen thousand, two hundred forty".