4032133040000 has 320 divisors, whose sum is σ = 10829542249680. Its totient is φ = 1486080000000.

The previous prime is 4032133039993. The next prime is 4032133040003. The reversal of 4032133040000 is 403312304.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032133040003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 625036775 + ... + 625043225.

Almost surely, 2^{4032133040000} is an apocalyptic number.

4032133040000 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 4032133040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5414771124840).

4032133040000 is an abundant number, since it is smaller than the sum of its proper divisors (6797409209680).

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

4032133040000 is an equidigital number, since it uses as much as digits as its factorization.

4032133040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7099 (or 7072 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 4032133040000 its reverse (403312304), we get a palindrome (4032536352304).

The spelling of 4032133040000 in words is "four trillion, thirty-two billion, one hundred thirty-three million, forty thousand".