4200343400 has 96 divisors (see below), whose sum is σ = 10913676480. Its totient is φ = 1490112000.

The previous prime is 4200343397. The next prime is 4200343409. The reversal of 4200343400 is 43430024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4200343409) 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 23 ways as a sum of consecutive naturals, for example, 66917 + ... + 113483.

It is an arithmetic number, because the mean of its divisors is an integer number (113684130).

Almost surely, 2^4200343400 is an apocalyptic number.

4200343400 is a gapful number since it is divisible by the number (40) 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 4200343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5456838240).

4200343400 is an abundant number, since it is smaller than the sum of its proper divisors (6713333080).

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

4200343400 is a wasteful number, since it uses less digits than its factorization.

4200343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46635 (or 46626 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 4200343400 is about 64810.0563184449. The cubic root of 4200343400 is about 1613.4726171593.

Adding to 4200343400 its reverse (43430024), we get a palindrome (4243773424).

The spelling of 4200343400 in words is "four billion, two hundred million, three hundred forty-three thousand, four hundred".