506442311455440 has 320 divisors, whose sum is σ = 1616699107491840. Its totient is φ = 131088234700800.

The previous prime is 506442311455357. The next prime is 506442311455441. The reversal of 506442311455440 is 44554113244605.

It is a super-2 number, since 2×506442311455440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 506442311455440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506442311455441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1643002774 + ... + 1643310986.

It is an arithmetic number, because the mean of its divisors is an integer number (5052184710912).

Almost surely, 2^{506442311455440} 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 506442311455440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808349553745920).

506442311455440 is an abundant number, since it is smaller than the sum of its proper divisors (1110256796036400).

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

506442311455440 is a wasteful number, since it uses less digits than its factorization.

506442311455440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309662 (or 309656 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 48.

The spelling of 506442311455440 in words is "five hundred six trillion, four hundred forty-two billion, three hundred eleven million, four hundred fifty-five thousand, four hundred forty".