214003343400 has 384 divisors, whose sum is σ = 833170959360. Its totient is φ = 44142336000.

The previous prime is 214003343363. The next prime is 214003343401. The reversal of 214003343400 is 4343300412.

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

It is not an unprimeable number, because it can be changed into a prime (214003343401) 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, 6312495 + ... + 6346305.

It is an arithmetic number, because the mean of its divisors is an integer number (2169716040).

Almost surely, 2^214003343400 is an apocalyptic number.

214003343400 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 214003343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416585479680).

214003343400 is an abundant number, since it is smaller than the sum of its proper divisors (619167615960).

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

214003343400 is a wasteful number, since it uses less digits than its factorization.

214003343400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33985 (or 33976 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 214003343400 its reverse (4343300412), we get a palindrome (218346643812).

The spelling of 214003343400 in words is "two hundred fourteen billion, three million, three hundred forty-three thousand, four hundred".