214341346325400 has 384 divisors, whose sum is σ = 769600903104000. Its totient is φ = 48337268428800.

The previous prime is 214341346325263. The next prime is 214341346325401. The reversal of 214341346325400 is 4523643143412.

It is a super-3 number, since 3×214341346325400³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214341346325401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94058676 + ... + 96310524.

It is an arithmetic number, because the mean of its divisors is an integer number (2004169018500).

Almost surely, 2^{214341346325400} is an apocalyptic number.

214341346325400 is a gapful number since it is divisible by the number (20) 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 214341346325400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384800451552000).

214341346325400 is an abundant number, since it is smaller than the sum of its proper divisors (555259556778600).

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

214341346325400 is a wasteful number, since it uses less digits than its factorization.

214341346325400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252179 (or 2252170 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

Adding to 214341346325400 its reverse (4523643143412), we get a palindrome (218864989468812).

The spelling of 214341346325400 in words is "two hundred fourteen trillion, three hundred forty-one billion, three hundred forty-six million, three hundred twenty-five thousand, four hundred".