4005042440430 has 32 divisors (see below), whose sum is σ = 10177519614624. Its totient is φ = 1005187122176.

The previous prime is 4005042440417. The next prime is 4005042440459. The reversal of 4005042440430 is 340442405004.

It is a super-3 number, since 3×4005042440430³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3926511687 + ... + 3926512706.

It is an arithmetic number, because the mean of its divisors is an integer number (318047487957).

Almost surely, 2^{4005042440430} is an apocalyptic number.

4005042440430 is an abundant number, since it is smaller than the sum of its proper divisors (6172477174194).

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

4005042440430 is a wasteful number, since it uses less digits than its factorization.

4005042440430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7853024420.

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 4005042440430 its reverse (340442405004), we get a palindrome (4345484845434).

The spelling of 4005042440430 in words is "four trillion, five billion, forty-two million, four hundred forty thousand, four hundred thirty".