530920319040 has 252 divisors, whose sum is σ = 1896292167276. Its totient is φ = 141578191872.

The previous prime is 530920319021. The next prime is 530920319071. The reversal of 530920319040 is 40913029035.

It is a happy number.

530920319040 is a `hidden beast` number, since 530 + 9 + 2 + 0 + 31 + 90 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 231807583296 + 299112735744 = 481464^2 + 546912^2 .

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 = 530920318986 and 530920319004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1973082 + ... + 2225958.

Almost surely, 2^530920319040 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 530920319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948146083638).

530920319040 is an abundant number, since it is smaller than the sum of its proper divisors (1365371848236).

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

530920319040 is an frugal number, since it uses more digits than its factorization.

530920319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252918 (or 252887 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 530920319040 in words is "five hundred thirty billion, nine hundred twenty million, three hundred nineteen thousand, forty".