506145037400 has 48 divisors (see below), whose sum is σ = 1178617662600. Its totient is φ = 202143098880.

The previous prime is 506145037397. The next prime is 506145037417. The reversal of 506145037400 is 4730541605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1839305 + ... + 2096504.

Almost surely, 2^506145037400 is an apocalyptic number.

506145037400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506145037400 is an abundant number, since it is smaller than the sum of its proper divisors (672472625200).

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

506145037400 is a wasteful number, since it uses less digits than its factorization.

506145037400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936468 (or 3936459 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The spelling of 506145037400 in words is "five hundred six billion, one hundred forty-five million, thirty-seven thousand, four hundred".