4231022400 has 252 divisors, whose sum is σ = 16405762464. Its totient is φ = 1025664000.

The previous prime is 4231022363. The next prime is 4231022417. The reversal of 4231022400 is 42201324.

4231022400 is a `hidden beast` number, since 423 + 1 + 0 + 2 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145045 + ... + 171755.

It is an arithmetic number, because the mean of its divisors is an integer number (65102232).

Almost surely, 2^4231022400 is an apocalyptic number.

4231022400 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 4231022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8202881232).

4231022400 is an abundant number, since it is smaller than the sum of its proper divisors (12174740064).

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

4231022400 is a wasteful number, since it uses less digits than its factorization.

4231022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26750 (or 26732 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4231022400 is about 65046.3096570436. The cubic root of 4231022400 is about 1617.3913204844.

Adding to 4231022400 its reverse (42201324), we get a palindrome (4273223724).

The spelling of 4231022400 in words is "four billion, two hundred thirty-one million, twenty-two thousand, four hundred".