4000096652328 has 224 divisors, whose sum is σ = 12856896043200. Its totient is φ = 1142411537664.

The previous prime is 4000096652327. The next prime is 4000096652329. The reversal of 4000096652328 is 8232566900004.

4000096652328 is a `hidden beast` number, since 40 + 0 + 0 + 0 + 9 + 66 + 523 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (4000096652327) and next prime (4000096652329).

It is not an unprimeable number, because it can be changed into a prime (4000096652327) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 105266100 + ... + 105304092.

Almost surely, 2^{4000096652328} 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 4000096652328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428448021600).

4000096652328 is an abundant number, since it is smaller than the sum of its proper divisors (8856799390872).

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

4000096652328 is a wasteful number, since it uses less digits than its factorization.

4000096652328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40603 (or 40584 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 4000096652328 in words is "four trillion, ninety-six million, six hundred fifty-two thousand, three hundred twenty-eight".