340131614984970 has 128 divisors (see below), whose sum is σ = 842658779888640. Its totient is φ = 87813519306240.

The previous prime is 340131614984869. The next prime is 340131614984983. The reversal of 340131614984970 is 79489416131043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143650141 + ... + 145998719.

It is an arithmetic number, because the mean of its divisors is an integer number (6583271717880).

Almost surely, 2^{340131614984970} is an apocalyptic number.

340131614984970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 340131614984970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421329389944320).

340131614984970 is an abundant number, since it is smaller than the sum of its proper divisors (502527164903670).

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

340131614984970 is a wasteful number, since it uses less digits than its factorization.

340131614984970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349620.

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 340131614984970 in words is "three hundred forty trillion, one hundred thirty-one billion, six hundred fourteen million, nine hundred eighty-four thousand, nine hundred seventy".