340435094917120 has 416 divisors, whose sum is σ = 941619972538368. Its totient is φ = 115725560315904.

The previous prime is 340435094917111. The next prime is 340435094917123. The reversal of 340435094917120 is 21719490534043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340435094917123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32462576517 + ... + 32462587003.

Almost surely, 2^{340435094917120} 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 340435094917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470809986269184).

340435094917120 is an abundant number, since it is smaller than the sum of its proper divisors (601184877621248).

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

340435094917120 is a wasteful number, since it uses less digits than its factorization.

340435094917120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12433 (or 12411 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 340435094917120 in words is "three hundred forty trillion, four hundred thirty-five billion, ninety-four million, nine hundred seventeen thousand, one hundred twenty".