4086814168332 has 96 divisors (see below), whose sum is σ = 12116589811200. Its totient is φ = 1166936936256.

The previous prime is 4086814168301. The next prime is 4086814168373. The reversal of 4086814168332 is 2338614186804.

It is a happy number.

4086814168332 is a `hidden beast` number, since 40 + 8 + 6 + 81 + 416 + 83 + 32 = 666.

4086814168332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 456282 + ... + 2895137.

It is an arithmetic number, because the mean of its divisors is an integer number (126214477200).

Almost surely, 2^{4086814168332} is an apocalyptic number.

4086814168332 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 4086814168332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6058294905600).

4086814168332 is an abundant number, since it is smaller than the sum of its proper divisors (8029775642868).

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

4086814168332 is a wasteful number, since it uses less digits than its factorization.

4086814168332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353052 (or 3353044 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 4086814168332 in words is "four trillion, eighty-six billion, eight hundred fourteen million, one hundred sixty-eight thousand, three hundred thirty-two".