340312014096160 has 384 divisors, whose sum is σ = 896578386278400. Its totient is φ = 121471630663680.

The previous prime is 340312014096097. The next prime is 340312014096167. The reversal of 340312014096160 is 61690410213043.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (340312014096167) by changing a digit.

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, 16354067836 + ... + 16354088644.

It is an arithmetic number, because the mean of its divisors is an integer number (2334839547600).

Almost surely, 2^{340312014096160} 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 340312014096160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448289193139200).

340312014096160 is an abundant number, since it is smaller than the sum of its proper divisors (556266372182240).

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

340312014096160 is a wasteful number, since it uses less digits than its factorization.

340312014096160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24424 (or 24416 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 340312014096160 in words is "three hundred forty trillion, three hundred twelve billion, fourteen million, ninety-six thousand, one hundred sixty".