10004904000 has 896 divisors, whose sum is σ = 45266457600. Its totient is φ = 2106777600.

The previous prime is 10004903941. The next prime is 10004904017. The reversal of 10004904000 is 40940001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19655746 + ... + 19656254.

It is an arithmetic number, because the mean of its divisors is an integer number (50520600).

Almost surely, 2^10004904000 is an apocalyptic number.

10004904000 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 10004904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22633228800).

10004904000 is an abundant number, since it is smaller than the sum of its proper divisors (35261553600).

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

10004904000 is a wasteful number, since it uses less digits than its factorization.

10004904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 10004904000 in words is "ten billion, four million, nine hundred four thousand".