10382382336 has 288 divisors, whose sum is σ = 30142949760. Its totient is φ = 3164700672.

The previous prime is 10382382313. The next prime is 10382382343. The reversal of 10382382336 is 63328328301.

It is a junction number, because it is equal to n+sod(n) for n = 10382382294 and 10382382303.

It is a congruent number.

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, 35434606 + ... + 35434898.

It is an arithmetic number, because the mean of its divisors is an integer number (104663020).

Almost surely, 2^10382382336 is an apocalyptic number.

10382382336 is a gapful number since it is divisible by the number (16) 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 10382382336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15071474880).

10382382336 is an abundant number, since it is smaller than the sum of its proper divisors (19760567424).

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

10382382336 is a wasteful number, since it uses less digits than its factorization.

10382382336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 10382382336 in words is "ten billion, three hundred eighty-two million, three hundred eighty-two thousand, three hundred thirty-six".