10044936000 has 504 divisors, whose sum is σ = 39530209992. Its totient is φ = 2433024000.

The previous prime is 10044935969. The next prime is 10044936001. The reversal of 10044936000 is 63944001.

10044936000 is a `hidden beast` number, since 10 + 0 + 4 + 49 + 3 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33732864 + 10011203136 = 5808^2 + 100056^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10044936001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8711424 + ... + 8712576.

Almost surely, 2^10044936000 is an apocalyptic number.

10044936000 is a gapful number since it is divisible by the number (10) 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 10044936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19765104996).

10044936000 is an abundant number, since it is smaller than the sum of its proper divisors (29485273992).

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

10044936000 is a wasteful number, since it uses less digits than its factorization.

10044936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 10044936000 in words is "ten billion, forty-four million, nine hundred thirty-six thousand".