8044101001332 has 96 divisors (see below), whose sum is σ = 23038980249600. Its totient is φ = 2406750559200.

The previous prime is 8044101001319. The next prime is 8044101001369. The reversal of 8044101001332 is 2331001014408.

8044101001332 is a `hidden beast` number, since 80 + 441 + 0 + 10 + 0 + 133 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 8044101001296 and 8044101001305.

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 31 ways as a sum of consecutive naturals, for example, 42761394 + ... + 42949097.

It is an arithmetic number, because the mean of its divisors is an integer number (239989377600).

Almost surely, 2^{8044101001332} is an apocalyptic number.

It is an amenable number.

8044101001332 is an abundant number, since it is smaller than the sum of its proper divisors (14994879248268).

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

8044101001332 is a wasteful number, since it uses less digits than its factorization.

8044101001332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85710594 (or 85710586 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 8044101001332 in words is "eight trillion, forty-four billion, one hundred one million, one thousand, three hundred thirty-two".