340145243541 has 128 divisors (see below), whose sum is σ = 572866560000. Its totient is φ = 198450362880.

The previous prime is 340145243507. The next prime is 340145243611. The reversal of 340145243541 is 145342541043.

340145243541 is a `hidden beast` number, since 3 + 40 + 145 + 2 + 435 + 41 = 666.

It is not a de Polignac number, because 340145243541 - 2⁷ = 340145243413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 340145243496 and 340145243505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340145243941) 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 127 ways as a sum of consecutive naturals, for example, 41041500 + ... + 41049786.

It is an arithmetic number, because the mean of its divisors is an integer number (4475520000).

Almost surely, 2^340145243541 is an apocalyptic number.

340145243541 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

340145243541 is a deficient number, since it is larger than the sum of its proper divisors (232721316459).

340145243541 is a wasteful number, since it uses less digits than its factorization.

340145243541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8464 (or 8458 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 340145243541 its reverse (145342541043), we get a palindrome (485487784584).

The spelling of 340145243541 in words is "three hundred forty billion, one hundred forty-five million, two hundred forty-three thousand, five hundred forty-one".