504642995507040 has 192 divisors, whose sum is σ = 1729552815700416. Its totient is φ = 122939197489152.

The previous prime is 504642995507017. The next prime is 504642995507071. The reversal of 504642995507040 is 40705599246405.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416262117 + ... + 417472676.

It is an arithmetic number, because the mean of its divisors is an integer number (9008087581773).

Almost surely, 2^{504642995507040} is an apocalyptic number.

It is an amenable number.

504642995507040 is an abundant number, since it is smaller than the sum of its proper divisors (1224909820193376).

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

504642995507040 is a wasteful number, since it uses less digits than its factorization.

504642995507040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833734921 (or 833734913 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 60.

The spelling of 504642995507040 in words is "five hundred four trillion, six hundred forty-two billion, nine hundred ninety-five million, five hundred seven thousand, forty".