340033414120344 has 48 divisors (see below), whose sum is σ = 1052484377040720. Its totient is φ = 97152404034240.

The previous prime is 340033414120343. The next prime is 340033414120369. The reversal of 340033414120344 is 443021414330043.

340033414120344 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 33 + 414 + 1 + 203 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 340033414120299 and 340033414120308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340033414120343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337334735727 + ... + 337334736734.

It is an arithmetic number, because the mean of its divisors is an integer number (21926757855015).

Almost surely, 2^{340033414120344} is an apocalyptic number.

It is an amenable number.

340033414120344 is an abundant number, since it is smaller than the sum of its proper divisors (712450962920376).

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

340033414120344 is a wasteful number, since it uses less digits than its factorization.

340033414120344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674669472480 (or 674669472473 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 340033414120344 its reverse (443021414330043), we get a palindrome (783054828450387).

The spelling of 340033414120344 in words is "three hundred forty trillion, thirty-three billion, four hundred fourteen million, one hundred twenty thousand, three hundred forty-four".