10006444380 has 48 divisors (see below), whose sum is σ = 28222578720. Its totient is φ = 2648905728.

The previous prime is 10006444367. The next prime is 10006444429. The reversal of 10006444380 is 8344460001.

10006444380 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 (30).

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 15 ways as a sum of consecutive naturals, for example, 600445 + ... + 616884.

It is an arithmetic number, because the mean of its divisors is an integer number (587970390).

Almost surely, 2^10006444380 is an apocalyptic number.

10006444380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006444380 is an abundant number, since it is smaller than the sum of its proper divisors (18216134340).

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

10006444380 is a wasteful number, since it uses less digits than its factorization.

10006444380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217478 (or 1217476 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 10006444380 in words is "ten billion, six million, four hundred forty-four thousand, three hundred eighty".