500240463840 has 288 divisors, whose sum is σ = 1841210463456. Its totient is φ = 122946785280.

The previous prime is 500240463823. The next prime is 500240463847. The reversal of 500240463840 is 48364042005.

500240463840 is a `hidden beast` number, since 500 + 2 + 40 + 46 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 500240463795 and 500240463804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500240463847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12353707 + ... + 12394133.

It is an arithmetic number, because the mean of its divisors is an integer number (6393091887).

Almost surely, 2^500240463840 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 500240463840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920605231728).

500240463840 is an abundant number, since it is smaller than the sum of its proper divisors (1340969999616).

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

500240463840 is a wasteful number, since it uses less digits than its factorization.

500240463840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41122 (or 41111 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 500240463840 in words is "five hundred billion, two hundred forty million, four hundred sixty-three thousand, eight hundred forty".