340412222220000 has 240 divisors, whose sum is σ = 1276137340232832. Its totient is φ = 77808507840000.

The previous prime is 340412222219983. The next prime is 340412222220149. The reversal of 340412222220000 is 22222214043.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 404832646 + ... + 405672645.

Almost surely, 2^{340412222220000} is an apocalyptic number.

340412222220000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340412222220000 is an abundant number, since it is smaller than the sum of its proper divisors (935725118012832).

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

340412222220000 is an equidigital number, since it uses as much as digits as its factorization.

340412222220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810505331 (or 810505308 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 340412222220000 its reverse (22222214043), we get a palindrome (340434444434043).

The spelling of 340412222220000 in words is "three hundred forty trillion, four hundred twelve billion, two hundred twenty-two million, two hundred twenty thousand".