505310642400 has 72 divisors (see below), whose sum is σ = 1644786148824. Its totient is φ = 134749504000.

The previous prime is 505310642387. The next prime is 505310642489. The reversal of 505310642400 is 4246013505.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105270651 + ... + 105275450.

It is an arithmetic number, because the mean of its divisors is an integer number (22844252067).

Almost surely, 2^505310642400 is an apocalyptic number.

505310642400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505310642400 is an abundant number, since it is smaller than the sum of its proper divisors (1139475506424).

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

505310642400 is a wasteful number, since it uses less digits than its factorization.

505310642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210546124 (or 210546111 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 505310642400 its reverse (4246013505), we get a palindrome (509556655905).

The spelling of 505310642400 in words is "five hundred five billion, three hundred ten million, six hundred forty-two thousand, four hundred".