502643705040 has 200 divisors, whose sum is σ = 1762073961120. Its totient is φ = 132785443584.

The previous prime is 502643704973. The next prime is 502643705087. The reversal of 502643705040 is 40507346205.

502643705040 is a `hidden beast` number, since 5 + 0 + 2 + 643 + 7 + 0 + 5 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 502643704986 and 502643705004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 330891 + ... + 1055829.

Almost surely, 2^502643705040 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 502643705040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881036980560).

502643705040 is an abundant number, since it is smaller than the sum of its proper divisors (1259430256080).

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

502643705040 is a wasteful number, since it uses less digits than its factorization.

502643705040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725071 (or 725056 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 502643705040 in words is "five hundred two billion, six hundred forty-three million, seven hundred five thousand, forty".