506842414240 has 48 divisors (see below), whose sum is σ = 1197485825760. Its totient is φ = 202725008640.

The previous prime is 506842414229. The next prime is 506842414249. The reversal of 506842414240 is 42414248605.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 506842414193 and 506842414202.

It is not an unprimeable number, because it can be changed into a prime (506842414249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2933455 + ... + 3101425.

It is an arithmetic number, because the mean of its divisors is an integer number (24947621370).

Almost surely, 2^506842414240 is an apocalyptic number.

It is an amenable number.

506842414240 is an abundant number, since it is smaller than the sum of its proper divisors (690643411520).

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

506842414240 is a wasteful number, since it uses less digits than its factorization.

506842414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186845 (or 186837 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 40.

The spelling of 506842414240 in words is "five hundred six billion, eight hundred forty-two million, four hundred fourteen thousand, two hundred forty".