4233132240400 has 480 divisors, whose sum is σ = 11986600665600. Its totient is φ = 1406896128000.

The previous prime is 4233132240383. The next prime is 4233132240401. The reversal of 4233132240400 is 40422313324.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4233132240401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2743442029 + ... + 2743443571.

It is an arithmetic number, because the mean of its divisors is an integer number (24972084720).

Almost surely, 2^{4233132240400} is an apocalyptic number.

4233132240400 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 4233132240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5993300332800).

4233132240400 is an abundant number, since it is smaller than the sum of its proper divisors (7753468425200).

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

4233132240400 is a wasteful number, since it uses less digits than its factorization.

4233132240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4233132240400 its reverse (40422313324), we get a palindrome (4273554553724).

The spelling of 4233132240400 in words is "four trillion, two hundred thirty-three billion, one hundred thirty-two million, two hundred forty thousand, four hundred".