4132075368906 has 64 divisors (see below), whose sum is σ = 9637009655040. Its totient is φ = 1309857785280.

The previous prime is 4132075368899. The next prime is 4132075368959. The reversal of 4132075368906 is 6098635702314.

4132075368906 is a `hidden beast` number, since 4 + 1 + 3 + 20 + 7 + 536 + 89 + 0 + 6 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 9400605 + ... + 9830336.

It is an arithmetic number, because the mean of its divisors is an integer number (150578275860).

It is a 1-persistent number, because it is pandigital, but 2⋅4132075368906 = 8264150737812 is not.

Almost surely, 2^{4132075368906} is an apocalyptic number.

4132075368906 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

4132075368906 is an abundant number, since it is smaller than the sum of its proper divisors (5504934286134).

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

4132075368906 is a wasteful number, since it uses less digits than its factorization.

4132075368906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19231148 (or 19231142 counting only the distinct ones).

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

The spelling of 4132075368906 in words is "four trillion, one hundred thirty-two billion, seventy-five million, three hundred sixty-eight thousand, nine hundred six".