10405112424 has 128 divisors (see below), whose sum is σ = 31328640000. Its totient is φ = 2813266944.

The previous prime is 10405112411. The next prime is 10405112441. The reversal of 10405112424 is 42421150401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10405112394 and 10405112403.

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, 4956127 + ... + 4958225.

It is an arithmetic number, because the mean of its divisors is an integer number (244755000).

Almost surely, 2^10405112424 is an apocalyptic number.

10405112424 is a gapful number since it is divisible by the number (14) 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 10405112424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15664320000).

10405112424 is an abundant number, since it is smaller than the sum of its proper divisors (20923527576).

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

10405112424 is a wasteful number, since it uses less digits than its factorization.

10405112424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 10405112424 its reverse (42421150401), we get a palindrome (52826262825).

The spelling of 10405112424 in words is "ten billion, four hundred five million, one hundred twelve thousand, four hundred twenty-four".