10415352384 has 224 divisors, whose sum is σ = 32409262080. Its totient is φ = 3273177600.

The previous prime is 10415352347. The next prime is 10415352397. The reversal of 10415352384 is 48325351401.

10415352384 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 53 + 523 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2819979 + ... + 2823669.

Almost surely, 2^10415352384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10415352384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204631040).

10415352384 is an abundant number, since it is smaller than the sum of its proper divisors (21993909696).

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

10415352384 is a wasteful number, since it uses less digits than its factorization.

10415352384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10415352384 in words is "ten billion, four hundred fifteen million, three hundred fifty-two thousand, three hundred eighty-four".