10416667824 has 40 divisors (see below), whose sum is σ = 29899695920. Its totient is φ = 3472222464.

The previous prime is 10416667817. The next prime is 10416667837. The reversal of 10416667824 is 42876661401.

10416667824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10416667824.

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 7 ways as a sum of consecutive naturals, for example, 12055897 + ... + 12056760.

It is an arithmetic number, because the mean of its divisors is an integer number (747492398).

Almost surely, 2^10416667824 is an apocalyptic number.

It is an amenable number.

10416667824 is an abundant number, since it is smaller than the sum of its proper divisors (19483028096).

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

10416667824 is a wasteful number, since it uses less digits than its factorization.

10416667824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24112674 (or 24112662 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10416667824 in words is "ten billion, four hundred sixteen million, six hundred sixty-seven thousand, eight hundred twenty-four".