10044987467328 has 672 divisors, whose sum is σ = 35478556139520. Its totient is φ = 2758305623040.

The previous prime is 10044987467321. The next prime is 10044987467329. The reversal of 10044987467328 is 82376478944001.

10044987467328 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 498 + 74 + 6 + 73 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (10044987467321) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 157791601 + ... + 157855247.

Almost surely, 2^{10044987467328} is an apocalyptic number.

10044987467328 is a gapful number since it is divisible by the number (18) 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 10044987467328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17739278069760).

10044987467328 is an abundant number, since it is smaller than the sum of its proper divisors (25433568672192).

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

10044987467328 is a wasteful number, since it uses less digits than its factorization.

10044987467328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63740 (or 63705 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 10044987467328 in words is "ten trillion, forty-four billion, nine hundred eighty-seven million, four hundred sixty-seven thousand, three hundred twenty-eight".