4233131212400 has 240 divisors, whose sum is σ = 10889470633440. Its totient is φ = 1576699084800.

The previous prime is 4233131212397. The next prime is 4233131212447. The reversal of 4233131212400 is 42121313324.

4233131212400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4233131212400² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4233131212400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162543380 + ... + 162569420.

It is an arithmetic number, because the mean of its divisors is an integer number (45372794306).

Almost surely, 2^{4233131212400} is an apocalyptic number.

4233131212400 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 4233131212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5444735316720).

4233131212400 is an abundant number, since it is smaller than the sum of its proper divisors (6656339421040).

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

4233131212400 is a wasteful number, since it uses less digits than its factorization.

4233131212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26444 (or 26433 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 4233131212400 its reverse (42121313324), we get a palindrome (4275252525724).

The spelling of 4233131212400 in words is "four trillion, two hundred thirty-three billion, one hundred thirty-one million, two hundred twelve thousand, four hundred".