509418943488 has 264 divisors, whose sum is σ = 1810385927168. Its totient is φ = 134352027648.

The previous prime is 509418943483. The next prime is 509418943499. The reversal of 509418943488 is 884349814905.

509418943488 is a `hidden beast` number, since 5 + 0 + 9 + 41 + 89 + 434 + 88 = 666.

It is a super-2 number, since 2×509418943488² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509418943483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534945 + ... + 1142367.

Almost surely, 2^509418943488 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 509418943488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905192963584).

509418943488 is an abundant number, since it is smaller than the sum of its proper divisors (1300966983680).

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

509418943488 is a wasteful number, since it uses less digits than its factorization.

509418943488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607469 (or 607448 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 509418943488 in words is "five hundred nine billion, four hundred eighteen million, nine hundred forty-three thousand, four hundred eighty-eight".