509526743040 has 432 divisors, whose sum is σ = 2054261139840. Its totient is φ = 116462223360.

The previous prime is 509526743027. The next prime is 509526743093. The reversal of 509526743040 is 40347625905.

509526743040 is a `hidden beast` number, since 50 + 9 + 526 + 7 + 4 + 30 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4459425 + ... + 4572255.

It is an arithmetic number, because the mean of its divisors is an integer number (4755234120).

Almost surely, 2^509526743040 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 509526743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027130569920).

509526743040 is an abundant number, since it is smaller than the sum of its proper divisors (1544734396800).

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

509526743040 is a wasteful number, since it uses less digits than its factorization.

509526743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112878 (or 112848 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 509526743040 in words is "five hundred nine billion, five hundred twenty-six million, seven hundred forty-three thousand, forty".