317271542406000 has 640 divisors, whose sum is σ = 1302345044582400. Its totient is φ = 64632501964800.

The previous prime is 317271542405911. The next prime is 317271542406011. The reversal of 317271542406000 is 604245172713.

It is a super-2 number, since 2×317271542406000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 5815321 + ... + 25852679.

It is an arithmetic number, because the mean of its divisors is an integer number (2034914132160).

Almost surely, 2^{317271542406000} is an apocalyptic number.

317271542406000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317271542406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651172522291200).

317271542406000 is an abundant number, since it is smaller than the sum of its proper divisors (985073502176400).

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

317271542406000 is a wasteful number, since it uses less digits than its factorization.

317271542406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20037434 (or 20037418 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

Adding to 317271542406000 its reverse (604245172713), we get a palindrome (317875787578713).

The spelling of 317271542406000 in words is "three hundred seventeen trillion, two hundred seventy-one billion, five hundred forty-two million, four hundred six thousand".