509355146327040 has 4224 divisors, whose sum is σ = 2163719240417280. Its totient is φ = 113773156761600.

The previous prime is 509355146326979. The next prime is 509355146327177. The reversal of 509355146327040 is 40723641553905.

509355146327040 is a `hidden beast` number, since 5 + 0 + 9 + 3 + 5 + 514 + 63 + 27 + 0 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1209869706030 + ... + 1209869706450.

Almost surely, 2^{509355146327040} 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 509355146327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081859620208640).

509355146327040 is an abundant number, since it is smaller than the sum of its proper divisors (1654364094090240).

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

509355146327040 is a wasteful number, since it uses less digits than its factorization.

509355146327040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 509355146327040 in words is "five hundred nine trillion, three hundred fifty-five billion, one hundred forty-six million, three hundred twenty-seven thousand, forty".