3413129011200 has 588 divisors, whose sum is σ = 12690814830918. Its totient is φ = 910127923200.

The previous prime is 3413129011183. The next prime is 3413129011207. The reversal of 3413129011200 is 21109213143.

3413129011200 is a `hidden beast` number, since 3 + 413 + 129 + 0 + 1 + 120 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3173984538624 + 239144472576 = 1781568^2 + 489024^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3413129011207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 149287770 + ... + 149310630.

Almost surely, 2^{3413129011200} is an apocalyptic number.

3413129011200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413129011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6345407415459).

3413129011200 is an abundant number, since it is smaller than the sum of its proper divisors (9277685819718).

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

3413129011200 is an frugal number, since it uses more digits than its factorization.

3413129011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22915 (or 22871 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 3413129011200 in words is "three trillion, four hundred thirteen billion, one hundred twenty-nine million, eleven thousand, two hundred".