509119242240 has 896 divisors, whose sum is σ = 2026756919808. Its totient is φ = 106451435520.

The previous prime is 509119242187. The next prime is 509119242301. The reversal of 509119242240 is 42242911905.

It is a tau number, because it is divible by the number of its divisors (896).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 541040170 + ... + 541041110.

Almost surely, 2^509119242240 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 509119242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013378459904).

509119242240 is an abundant number, since it is smaller than the sum of its proper divisors (1517637677568).

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

509119242240 is a wasteful number, since it uses less digits than its factorization.

509119242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 509119242240 in words is "five hundred nine billion, one hundred nineteen million, two hundred forty-two thousand, two hundred forty".