4013430030432 has 144 divisors (see below), whose sum is σ = 11472782001408. Its totient is φ = 1330842320640.

The previous prime is 4013430030413. The next prime is 4013430030439. The reversal of 4013430030432 is 2340300343104.

4013430030432 is a `hidden beast` number, since 40 + 13 + 4 + 300 + 304 + 3 + 2 = 666.

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

It is a super-2 number, since 2×4013430030432² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4013430030396 and 4013430030405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013430030439) 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, 45008163 + ... + 45097245.

It is an arithmetic number, because the mean of its divisors is an integer number (79672097232).

Almost surely, 2^{4013430030432} 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 4013430030432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5736391000704).

4013430030432 is an abundant number, since it is smaller than the sum of its proper divisors (7459351970976).

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

4013430030432 is a wasteful number, since it uses less digits than its factorization.

4013430030432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89913 (or 89902 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 4013430030432 its reverse (2340300343104), we get a palindrome (6353730373536).

The spelling of 4013430030432 in words is "four trillion, thirteen billion, four hundred thirty million, thirty thousand, four hundred thirty-two".