340443400313340 has 576 divisors, whose sum is σ = 1113506518924800. Its totient is φ = 87254487290880.

The previous prime is 340443400313329. The next prime is 340443400313347. The reversal of 340443400313340 is 43313004344043.

340443400313340 is a `hidden beast` number, since 3 + 4 + 0 + 443 + 40 + 0 + 3 + 133 + 40 = 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 = 340443400313295 and 340443400313304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340443400313347) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3331717050 + ... + 3331819230.

It is an arithmetic number, because the mean of its divisors is an integer number (1933171039800).

Almost surely, 2^{340443400313340} is an apocalyptic number.

340443400313340 is a gapful number since it is divisible by the number (30) 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 340443400313340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556753259462400).

340443400313340 is an abundant number, since it is smaller than the sum of its proper divisors (773063118611460).

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

340443400313340 is a wasteful number, since it uses less digits than its factorization.

340443400313340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102504 (or 102490 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 340443400313340 its reverse (43313004344043), we get a palindrome (383756404657383).

The spelling of 340443400313340 in words is "three hundred forty trillion, four hundred forty-three billion, four hundred million, three hundred thirteen thousand, three hundred forty".