531880849440 has 432 divisors, whose sum is σ = 1928752233408. Its totient is φ = 138524649984.

The previous prime is 531880849411. The next prime is 531880849453. The reversal of 531880849440 is 44948088135.

It is a happy number.

531880849440 is a `hidden beast` number, since 5 + 31 + 8 + 80 + 8 + 494 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45133789 + ... + 45145571.

It is an arithmetic number, because the mean of its divisors is an integer number (4464704244).

Almost surely, 2^531880849440 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 531880849440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964376116704).

531880849440 is an abundant number, since it is smaller than the sum of its proper divisors (1396871383968).

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

531880849440 is an equidigital number, since it uses as much as digits as its factorization.

531880849440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11865 (or 11836 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 531880849440 in words is "five hundred thirty-one billion, eight hundred eighty million, eight hundred forty-nine thousand, four hundred forty".