32413430224 has 60 divisors (see below), whose sum is σ = 73081925508. Its totient is φ = 13886208000.

The previous prime is 32413430219. The next prime is 32413430237. The reversal of 32413430224 is 42203431423.

It can be written as a sum of positive squares in 2 ways, for example, as 18018229824 + 14395200400 = 134232^2 + 119980^2 .

It is a super-2 number, since 2×32413430224² (a number of 22 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 = 32413430192 and 32413430201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2628874 + ... + 2641174.

Almost surely, 2^32413430224 is an apocalyptic number.

It is an amenable number.

32413430224 is an abundant number, since it is smaller than the sum of its proper divisors (40668495284).

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

32413430224 is a wasteful number, since it uses less digits than its factorization.

32413430224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15684 (or 15671 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 32413430224 its reverse (42203431423), we get a palindrome (74616861647).

The spelling of 32413430224 in words is "thirty-two billion, four hundred thirteen million, four hundred thirty thousand, two hundred twenty-four".