340120807243776 has 768 divisors, whose sum is σ = 1106192766631680. Its totient is φ = 99916704645120.

The previous prime is 340120807243703. The next prime is 340120807243879. The reversal of 340120807243776 is 677342708021043.

340120807243776 is a `hidden beast` number, since 3 + 4 + 0 + 120 + 80 + 7 + 2 + 437 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 51760886571 + ... + 51760893141.

It is an arithmetic number, because the mean of its divisors is an integer number (1440355164885).

Almost surely, 2^{340120807243776} is an apocalyptic number.

340120807243776 is a gapful number since it is divisible by the number (36) 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 340120807243776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553096383315840).

340120807243776 is an abundant number, since it is smaller than the sum of its proper divisors (766071959387904).

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

340120807243776 is a wasteful number, since it uses less digits than its factorization.

340120807243776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7230 (or 7199 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 340120807243776 in words is "three hundred forty trillion, one hundred twenty billion, eight hundred seven million, two hundred forty-three thousand, seven hundred seventy-six".