40433233132000 has 192 divisors, whose sum is σ = 101491296641280. Its totient is φ = 15824011776000.

The previous prime is 40433233131961. The next prime is 40433233132003. The reversal of 40433233132000 is 23133233404.

It is a happy number.

40433233132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40433233132000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40433233132003) 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 31 ways as a sum of consecutive naturals, for example, 603258490 + ... + 603325510.

It is an arithmetic number, because the mean of its divisors is an integer number (528600503340).

Almost surely, 2^{40433233132000} is an apocalyptic number.

40433233132000 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 40433233132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50745648320640).

40433233132000 is an abundant number, since it is smaller than the sum of its proper divisors (61058063509280).

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

40433233132000 is a wasteful number, since it uses less digits than its factorization.

40433233132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70302 (or 70284 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 40433233132000 its reverse (23133233404), we get a palindrome (40456366365404).

The spelling of 40433233132000 in words is "forty trillion, four hundred thirty-three billion, two hundred thirty-three million, one hundred thirty-two thousand".