522734113440 has 2304 divisors, whose sum is σ = 2476215705600. Its totient is φ = 100508221440.

The previous prime is 522734113423. The next prime is 522734113441. The reversal of 522734113440 is 44311437225.

522734113440 is a `hidden beast` number, since 5 + 2 + 273 + 41 + 1 + 344 + 0 = 666.

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 = 522734113395 and 522734113404.

It is not an unprimeable number, because it can be changed into a prime (522734113441) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5075088429 + ... + 5075088531.

It is an arithmetic number, because the mean of its divisors is an integer number (1074746400).

Almost surely, 2^522734113440 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 522734113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238107852800).

522734113440 is an abundant number, since it is smaller than the sum of its proper divisors (1953481592160).

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

522734113440 is a wasteful number, since it uses less digits than its factorization.

522734113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 522734113440 in words is "five hundred twenty-two billion, seven hundred thirty-four million, one hundred thirteen thousand, four hundred forty".