317129379840 has 1872 divisors, whose sum is σ = 1433671778448. Its totient is φ = 64210599936.

The previous prime is 317129379839. The next prime is 317129379841. The reversal of 317129379840 is 48973921713.

317129379840 is a `hidden beast` number, since 3 + 171 + 29 + 379 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (317129379839) and next prime (317129379841).

It can be written as a sum of positive squares in 8 ways, for example, as 7225344 + 317122154496 = 2688^2 + 563136^2 .

It is a tau number, because it is divible by the number of its divisors (1872).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317129379841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4344238044 + ... + 4344238116.

It is an arithmetic number, because the mean of its divisors is an integer number (765850309).

Almost surely, 2^317129379840 is an apocalyptic number.

317129379840 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 317129379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716835889224).

317129379840 is an abundant number, since it is smaller than the sum of its proper divisors (1116542398608).

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

317129379840 is a wasteful number, since it uses less digits than its factorization.

317129379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 317129379840 in words is "three hundred seventeen billion, one hundred twenty-nine million, three hundred seventy-nine thousand, eight hundred forty".