340040133200000 has 96 divisors (see below), whose sum is σ = 846725435674020. Its totient is φ = 136016053120000.

The previous prime is 340040133199967. The next prime is 340040133200003. The reversal of 340040133200000 is 2331040043.

It can be written as a sum of positive squares in 6 ways, for example, as 36160209848896 + 303879923351104 = 6013336^2 + 17432152^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (340040133200003) 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 11 ways as a sum of consecutive naturals, for example, 424650167 + ... + 425450166.

Almost surely, 2^{340040133200000} is an apocalyptic number.

It is an amenable number.

340040133200000 is an abundant number, since it is smaller than the sum of its proper divisors (506685302474020).

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

340040133200000 is an frugal number, since it uses more digits than its factorization.

340040133200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850100372 (or 850100340 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 340040133200000 its reverse (2331040043), we get a palindrome (340042464240043).

The spelling of 340040133200000 in words is "three hundred forty trillion, forty billion, one hundred thirty-three million, two hundred thousand".