4006431220 has 24 divisors (see below), whose sum is σ = 9178370208. Its totient is φ = 1456884000.

The previous prime is 4006431211. The next prime is 4006431251. The reversal of 4006431220 is 221346004.

It is a happy number.

It is a super-2 number, since 2×4006431220² = 32102982241181376800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4006431191 and 4006431200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9105306 + ... + 9105745.

It is an arithmetic number, because the mean of its divisors is an integer number (382432092).

Almost surely, 2^4006431220 is an apocalyptic number.

It is an amenable number.

4006431220 is an abundant number, since it is smaller than the sum of its proper divisors (5171938988).

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

4006431220 is a wasteful number, since it uses less digits than its factorization.

4006431220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18211071 (or 18211069 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4006431220 is about 63296.3760416029. The cubic root of 4006431220 is about 1588.2513402144.

Adding to 4006431220 its reverse (221346004), we get a palindrome (4227777224).

The spelling of 4006431220 in words is "four billion, six million, four hundred thirty-one thousand, two hundred twenty".