509231540845440 has 2560 divisors, whose sum is σ = 2283180742656000. Its totient is φ = 105474510028800.

The previous prime is 509231540845427. The next prime is 509231540845501. The reversal of 509231540845440 is 44548045132905.

509231540845440 is a `hidden beast` number, since 5 + 0 + 9 + 2 + 3 + 1 + 540 + 8 + 4 + 54 + 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 polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 38056307550 + ... + 38056320930.

It is an arithmetic number, because the mean of its divisors is an integer number (891867477600).

Almost surely, 2^{509231540845440} 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 509231540845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141590371328000).

509231540845440 is an abundant number, since it is smaller than the sum of its proper divisors (1773949201810560).

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

509231540845440 is a wasteful number, since it uses less digits than its factorization.

509231540845440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13666 (or 13645 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 509231540845440 in words is "five hundred nine trillion, two hundred thirty-one billion, five hundred forty million, eight hundred forty-five thousand, four hundred forty".