10040328000 has 896 divisors, whose sum is σ = 40169226240. Its totient is φ = 2448230400.

The previous prime is 10040327971. The next prime is 10040328013. The reversal of 10040328000 is 82304001.

It is a happy number.

10040328000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 213623977 + ... + 213624023.

Almost surely, 2^10040328000 is an apocalyptic number.

10040328000 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 10040328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20084613120).

10040328000 is an abundant number, since it is smaller than the sum of its proper divisors (30128898240).

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

10040328000 is a wasteful number, since it uses less digits than its factorization.

10040328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 10040328000 in words is "ten billion, forty million, three hundred twenty-eight thousand".