4200321400 has 144 divisors (see below), whose sum is σ = 11026716120. Its totient is φ = 1485792000.

The previous prime is 4200321379. The next prime is 4200321407. The reversal of 4200321400 is 41230024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200321407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 893055 + ... + 897745.

Almost surely, 2^4200321400 is an apocalyptic number.

4200321400 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 4200321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513358060).

4200321400 is an abundant number, since it is smaller than the sum of its proper divisors (6826394720).

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

4200321400 is a wasteful number, since it uses less digits than its factorization.

4200321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766 (or 4746 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4200321400 is about 64809.8865914761. The cubic root of 4200321400 is about 1613.4698002103.

Adding to 4200321400 its reverse (41230024), we get a palindrome (4241551424).

The spelling of 4200321400 in words is "four billion, two hundred million, three hundred twenty-one thousand, four hundred".