4132075368960 has 1600 divisors, whose sum is σ = 18596207266560. Its totient is φ = 851894599680.

The previous prime is 4132075368959. The next prime is 4132075368977. The reversal of 4132075368960 is 698635702314.

4132075368960 is a `hidden beast` number, since 4 + 1 + 3 + 20 + 7 + 536 + 89 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4132075368897 and 4132075368906.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2187439696 + ... + 2187441584.

It is a 2-persistent number, because it is pandigital, and so is 2⋅4132075368960 = 8264150737920, but 3⋅4132075368960 = 12396226106880 is not.

Almost surely, 2^{4132075368960} is an apocalyptic number.

4132075368960 is a gapful number since it is divisible by the number (40) 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 4132075368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9298103633280).

4132075368960 is an abundant number, since it is smaller than the sum of its proper divisors (14464131897600).

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

4132075368960 is a wasteful number, since it uses less digits than its factorization.

4132075368960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 4132075368960 in words is "four trillion, one hundred thirty-two billion, seventy-five million, three hundred sixty-eight thousand, nine hundred sixty".