40433020404000 has 384 divisors, whose sum is σ = 151485870961152. Its totient is φ = 9235444838400.

The previous prime is 40433020403981. The next prime is 40433020404001. The reversal of 40433020404000 is 40402033404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (40433020404001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121886362 + ... + 122217638.

It is an arithmetic number, because the mean of its divisors is an integer number (394494455628).

Almost surely, 2^{40433020404000} is an apocalyptic number.

40433020404000 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 40433020404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75742935480576).

40433020404000 is an abundant number, since it is smaller than the sum of its proper divisors (111052850557152).

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

40433020404000 is a wasteful number, since it uses less digits than its factorization.

40433020404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332765 (or 332747 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 40433020404000 its reverse (40402033404), we get a palindrome (40473422437404).

The spelling of 40433020404000 in words is "forty trillion, four hundred thirty-three billion, twenty million, four hundred four thousand".