506321054240540 has 384 divisors, whose sum is σ = 1340233740582912. Its totient is φ = 156088800000000.

The previous prime is 506321054240531. The next prime is 506321054240627. The reversal of 506321054240540 is 45042450123605.

It is a super-2 number, since 2×506321054240540² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44371307435 + ... + 44371318845.

It is an arithmetic number, because the mean of its divisors is an integer number (3490192032768).

Almost surely, 2^{506321054240540} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506321054240540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670116870291456).

506321054240540 is an abundant number, since it is smaller than the sum of its proper divisors (833912686342372).

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

506321054240540 is a wasteful number, since it uses less digits than its factorization.

506321054240540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12481 (or 12479 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 41.

The spelling of 506321054240540 in words is "five hundred six trillion, three hundred twenty-one billion, fifty-four million, two hundred forty thousand, five hundred forty".