505354400240 has 40 divisors (see below), whose sum is σ = 1185929832240. Its totient is φ = 200252581376.

The previous prime is 505354400227. The next prime is 505354400329. The reversal of 505354400240 is 42004453505.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×505354400240² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 505354400197 and 505354400206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29509805 + ... + 29526924.

It is an arithmetic number, because the mean of its divisors is an integer number (29648245806).

Almost surely, 2^505354400240 is an apocalyptic number.

It is an amenable number.

505354400240 is an abundant number, since it is smaller than the sum of its proper divisors (680575432000).

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

505354400240 is a wasteful number, since it uses less digits than its factorization.

505354400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59036849 (or 59036843 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

Adding to 505354400240 its reverse (42004453505), we get a palindrome (547358853745).

The spelling of 505354400240 in words is "five hundred five billion, three hundred fifty-four million, four hundred thousand, two hundred forty".