4000809881432 has 256 divisors, whose sum is σ = 10038974668800. Its totient is φ = 1450068480000.

The previous prime is 4000809881371. The next prime is 4000809881443. The reversal of 4000809881432 is 2341889080004.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 952344932 + ... + 952349132.

It is an arithmetic number, because the mean of its divisors is an integer number (39214744800).

Almost surely, 2^{4000809881432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000809881432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019487334400).

4000809881432 is an abundant number, since it is smaller than the sum of its proper divisors (6038164787368).

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

4000809881432 is a wasteful number, since it uses less digits than its factorization.

4000809881432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6498 (or 6494 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The spelling of 4000809881432 in words is "four trillion, eight hundred nine million, eight hundred eighty-one thousand, four hundred thirty-two".