340461040224000 has 144 divisors (see below), whose sum is σ = 1130841345422880. Its totient is φ = 90789610700800.

The previous prime is 340461040223911. The next prime is 340461040224031. The reversal of 340461040224000 is 422040164043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1773138585 + ... + 1773330584.

It is an arithmetic number, because the mean of its divisors is an integer number (7853064898770).

Almost surely, 2^{340461040224000} is an apocalyptic number.

340461040224000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340461040224000 is an abundant number, since it is smaller than the sum of its proper divisors (790380305198880).

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

340461040224000 is an equidigital number, since it uses as much as digits as its factorization.

340461040224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546469203 (or 3546469179 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 340461040224000 its reverse (422040164043), we get a palindrome (340883080388043).

The spelling of 340461040224000 in words is "three hundred forty trillion, four hundred sixty-one billion, forty million, two hundred twenty-four thousand".