3214042413400 has 192 divisors, whose sum is σ = 9207932529600. Its totient is φ = 1015994050560.

The previous prime is 3214042413391. The next prime is 3214042413469. The reversal of 3214042413400 is 43142404123.

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

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 47 ways as a sum of consecutive naturals, for example, 15421086 + ... + 15628114.

It is an arithmetic number, because the mean of its divisors is an integer number (47957981925).

Almost surely, 2^{3214042413400} 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 3214042413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4603966264800).

3214042413400 is an abundant number, since it is smaller than the sum of its proper divisors (5993890116200).

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

3214042413400 is a wasteful number, since it uses less digits than its factorization.

3214042413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207918 (or 207909 counting only the distinct ones).

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

Adding to 3214042413400 its reverse (43142404123), we get a palindrome (3257184817523).

The spelling of 3214042413400 in words is "three trillion, two hundred fourteen billion, forty-two million, four hundred thirteen thousand, four hundred".