4000717861632 has 144 divisors (see below), whose sum is σ = 11832134522880. Its totient is φ = 1333425189888.

The previous prime is 4000717861529. The next prime is 4000717861663. The reversal of 4000717861632 is 2361687170004.

4000717861632 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 7 + 1 + 7 + 8 + 6 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75334993 + ... + 75388079.

Almost surely, 2^{4000717861632} 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 4000717861632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5916067261440).

4000717861632 is an abundant number, since it is smaller than the sum of its proper divisors (7831416661248).

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

4000717861632 is a wasteful number, since it uses less digits than its factorization.

4000717861632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64015 (or 63995 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 4000717861632 in words is "four trillion, seven hundred seventeen million, eight hundred sixty-one thousand, six hundred thirty-two".