4046166432 has 720 divisors, whose sum is σ = 15897309120. Its totient is φ = 985374720.

The previous prime is 4046166431. The next prime is 4046166457. The reversal of 4046166432 is 2346616404.

4046166432 is a `hidden beast` number, since 4 + 0 + 4 + 6 + 1 + 6 + 643 + 2 = 666.

It is a super-2 number, since 2×4046166432² = 32742925590887221248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4046166431) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 41713008 + ... + 41713104.

It is an arithmetic number, because the mean of its divisors is an integer number (22079596).

Almost surely, 2^4046166432 is an apocalyptic number.

4046166432 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 4046166432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7948654560).

4046166432 is an abundant number, since it is smaller than the sum of its proper divisors (11851142688).

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

4046166432 is a wasteful number, since it uses less digits than its factorization.

4046166432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4046166432 is about 63609.4838212039. The cubic root of 4046166432 is about 1593.4847599567.

The spelling of 4046166432 in words is "four billion, forty-six million, one hundred sixty-six thousand, four hundred thirty-two".