532440760320 has 720 divisors, whose sum is σ = 2188114201728. Its totient is φ = 121668894720.

The previous prime is 532440760297. The next prime is 532440760321. The reversal of 532440760320 is 23067044235.

532440760320 is a `hidden beast` number, since 5 + 3 + 2 + 4 + 40 + 7 + 603 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532440760321) by changing a digit.

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, 139344010 + ... + 139347830.

Almost surely, 2^532440760320 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 532440760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094057100864).

532440760320 is an abundant number, since it is smaller than the sum of its proper divisors (1655673441408).

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

532440760320 is an frugal number, since it uses more digits than its factorization.

532440760320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876 (or 3838 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 532440760320 in words is "five hundred thirty-two billion, four hundred forty million, seven hundred sixty thousand, three hundred twenty".