10420431224 has 32 divisors (see below), whose sum is σ = 22441728000. Its totient is φ = 4443452640.

The previous prime is 10420431223. The next prime is 10420431239. The reversal of 10420431224 is 42213402401.

10420431224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10420431224² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10420431224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420431223) by changing a digit.

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, 456392 + ... + 478679.

It is an arithmetic number, because the mean of its divisors is an integer number (701304000).

Almost surely, 2^10420431224 is an apocalyptic number.

10420431224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10420431224 is an abundant number, since it is smaller than the sum of its proper divisors (12021296776).

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

10420431224 is a wasteful number, since it uses less digits than its factorization.

10420431224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935283 (or 935279 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10420431224 its reverse (42213402401), we get a palindrome (52633833625).

The spelling of 10420431224 in words is "ten billion, four hundred twenty million, four hundred thirty-one thousand, two hundred twenty-four".