3401414342200 has 192 divisors, whose sum is σ = 9602826004800. Its totient is φ = 1097597030400.

The previous prime is 3401414342159. The next prime is 3401414342201. The reversal of 3401414342200 is 22434141043.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401414342201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6630940 + ... + 7125460.

It is an arithmetic number, because the mean of its divisors is an integer number (50014718775).

Almost surely, 2^{3401414342200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401414342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801413002400).

3401414342200 is an abundant number, since it is smaller than the sum of its proper divisors (6201411662600).

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

3401414342200 is a wasteful number, since it uses less digits than its factorization.

3401414342200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494595 (or 494552 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 3401414342200 its reverse (22434141043), we get a palindrome (3423848483243).

The spelling of 3401414342200 in words is "three trillion, four hundred one billion, four hundred fourteen million, three hundred forty-two thousand, two hundred".