4132950675168 has 384 divisors, whose sum is σ = 13069807736832. Its totient is φ = 1118016700416.

The previous prime is 4132950675131. The next prime is 4132950675173. The reversal of 4132950675168 is 8615760592314.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2160454180 + ... + 2160456092.

It is an arithmetic number, because the mean of its divisors is an integer number (34035957648).

It is a 1-persistent number, because it is pandigital, but 2⋅4132950675168 = 8265901350336 is not.

Almost surely, 2^{4132950675168} is an apocalyptic number.

4132950675168 is a gapful number since it is divisible by the number (48) 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 4132950675168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6534903868416).

4132950675168 is an abundant number, since it is smaller than the sum of its proper divisors (8936857061664).

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

4132950675168 is a wasteful number, since it uses less digits than its factorization.

4132950675168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 4132950675168 in words is "four trillion, one hundred thirty-two billion, nine hundred fifty million, six hundred seventy-five thousand, one hundred sixty-eight".