531354313440 has 144 divisors (see below), whose sum is σ = 1831940340048. Its totient is φ = 140233678848.

The previous prime is 531354313417. The next prime is 531354313459. The reversal of 531354313440 is 44313453135.

531354313440 is a `hidden beast` number, since 53 + 13 + 543 + 13 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×531354313440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 531354313395 and 531354313404.

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 23 ways as a sum of consecutive naturals, for example, 1762362 + ... + 2041721.

It is an arithmetic number, because the mean of its divisors is an integer number (12721807917).

Almost surely, 2^531354313440 is an apocalyptic number.

It is an amenable number.

531354313440 is an abundant number, since it is smaller than the sum of its proper divisors (1300586026608).

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

531354313440 is a wasteful number, since it uses less digits than its factorization.

531354313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804201 (or 3804190 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 531354313440 its reverse (44313453135), we get a palindrome (575667766575).

The spelling of 531354313440 in words is "five hundred thirty-one billion, three hundred fifty-four million, three hundred thirteen thousand, four hundred forty".