10415399904 has 576 divisors, whose sum is σ = 38833966080. Its totient is φ = 2672455680.

The previous prime is 10415399899. The next prime is 10415399927. The reversal of 10415399904 is 40999351401.

10415399904 is a `hidden beast` number, since 104 + 1 + 539 + 9 + 9 + 0 + 4 = 666.

10415399904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10415399904.

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 95 ways as a sum of consecutive naturals, for example, 29012077 + ... + 29012435.

It is an arithmetic number, because the mean of its divisors is an integer number (67420080).

Almost surely, 2^10415399904 is an apocalyptic number.

10415399904 is a gapful number since it is divisible by the number (14) 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 10415399904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19416983040).

10415399904 is an abundant number, since it is smaller than the sum of its proper divisors (28418566176).

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

10415399904 is a wasteful number, since it uses less digits than its factorization.

10415399904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 10415399904 in words is "ten billion, four hundred fifteen million, three hundred ninety-nine thousand, nine hundred four".