4117986432 has 768 divisors, whose sum is σ = 16032768000. Its totient is φ = 1015234560.

The previous prime is 4117986419. The next prime is 4117986437. The reversal of 4117986432 is 2346897114.

4117986432 is a `hidden beast` number, since 41 + 179 + 8 + 6 + 432 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4117986437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132838257 + ... + 132838287.

It is an arithmetic number, because the mean of its divisors is an integer number (20876000).

Almost surely, 2^4117986432 is an apocalyptic number.

4117986432 is a gapful number since it is divisible by the number (42) 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 4117986432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8016384000).

4117986432 is an abundant number, since it is smaller than the sum of its proper divisors (11914781568).

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

4117986432 is a wasteful number, since it uses less digits than its factorization.

4117986432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 79 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 4117986432 is about 64171.5391119770. The cubic root of 4117986432 is about 1602.8577095630.

The spelling of 4117986432 in words is "four billion, one hundred seventeen million, nine hundred eighty-six thousand, four hundred thirty-two".