10419817824 has 144 divisors (see below), whose sum is σ = 31949687952. Its totient is φ = 3202182144.

The previous prime is 10419817819. The next prime is 10419817829. The reversal of 10419817824 is 42871891401.

It is an interprime number because it is at equal distance from previous prime (10419817819) and next prime (10419817829).

It is a tau number, because it is divible by the number of its divisors (144).

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 10419817824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10419817829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5139499 + ... + 5141525.

It is an arithmetic number, because the mean of its divisors is an integer number (221872833).

Almost surely, 2^10419817824 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 10419817824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15974843976).

10419817824 is an abundant number, since it is smaller than the sum of its proper divisors (21529870128).

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

10419817824 is a wasteful number, since it uses less digits than its factorization.

10419817824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 10419817824 in words is "ten billion, four hundred nineteen million, eight hundred seventeen thousand, eight hundred twenty-four".