4000886743328 has 192 divisors, whose sum is σ = 8735224135680. Its totient is φ = 1797236812800.

The previous prime is 4000886743309. The next prime is 4000886743339. The reversal of 4000886743328 is 8233476880004.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4000886743328.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353710793 + ... + 353722103.

It is an arithmetic number, because the mean of its divisors is an integer number (45495959040).

Almost surely, 2^{4000886743328} 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 4000886743328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367612067840).

4000886743328 is an abundant number, since it is smaller than the sum of its proper divisors (4734337392352).

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

4000886743328 is a wasteful number, since it uses less digits than its factorization.

4000886743328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11831 (or 11823 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 53.

The spelling of 4000886743328 in words is "four trillion, eight hundred eighty-six million, seven hundred forty-three thousand, three hundred twenty-eight".