10405224424 has 64 divisors (see below), whose sum is σ = 22900060800. Its totient is φ = 4340256000.

The previous prime is 10405224413. The next prime is 10405224437. The reversal of 10405224424 is 42442250401.

It is a super-2 number, since 2×10405224424² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10405224392 and 10405224401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318114 + ... + 349294.

It is an arithmetic number, because the mean of its divisors is an integer number (357813450).

Almost surely, 2^10405224424 is an apocalyptic number.

10405224424 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 10405224424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11450030400).

10405224424 is an abundant number, since it is smaller than the sum of its proper divisors (12494836376).

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

10405224424 is a wasteful number, since it uses less digits than its factorization.

10405224424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31354 (or 31350 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 10405224424 its reverse (42442250401), we get a palindrome (52847474825).

The spelling of 10405224424 in words is "ten billion, four hundred five million, two hundred twenty-four thousand, four hundred twenty-four".