334120414200 has 96 divisors (see below), whose sum is σ = 1036119986160. Its totient is φ = 89068953600.

The previous prime is 334120414171. The next prime is 334120414207. The reversal of 334120414200 is 2414021433.

It is a super-2 number, since 2×334120414200² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334120414207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1730520 + ... + 1913880.

Almost surely, 2^334120414200 is an apocalyptic number.

334120414200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334120414200 is an abundant number, since it is smaller than the sum of its proper divisors (701999571960).

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

334120414200 is a wasteful number, since it uses less digits than its factorization.

334120414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186417 (or 186408 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 334120414200 its reverse (2414021433), we get a palindrome (336534435633).

The spelling of 334120414200 in words is "three hundred thirty-four billion, one hundred twenty million, four hundred fourteen thousand, two hundred".