531411121440 has 288 divisors, whose sum is σ = 1903675737600. Its totient is φ = 134813306880.

The previous prime is 531411121411. The next prime is 531411121477. The reversal of 531411121440 is 44121114135.

It is a happy number.

531411121440 is a `hidden beast` number, since 5 + 31 + 411 + 1 + 214 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 2532876 + ... + 2734644.

It is an arithmetic number, because the mean of its divisors is an integer number (6609985200).

Almost surely, 2^531411121440 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 531411121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951837868800).

531411121440 is an abundant number, since it is smaller than the sum of its proper divisors (1372264616160).

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

531411121440 is a wasteful number, since it uses less digits than its factorization.

531411121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201880 (or 201869 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 531411121440 its reverse (44121114135), we get a palindrome (575532235575).

The spelling of 531411121440 in words is "five hundred thirty-one billion, four hundred eleven million, one hundred twenty-one thousand, four hundred forty".