4006066440 has 64 divisors (see below), whose sum is σ = 12026361600. Its totient is φ = 1067558912.

The previous prime is 4006066403. The next prime is 4006066459. The reversal of 4006066440 is 446606004.

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

It is a junction number, because it is equal to n+sod(n) for n = 4006066398 and 4006066407.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 179416 + ... + 200504.

It is an arithmetic number, because the mean of its divisors is an integer number (187911900).

Almost surely, 2^4006066440 is an apocalyptic number.

4006066440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4006066440 is an abundant number, since it is smaller than the sum of its proper divisors (8020295160).

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

4006066440 is a wasteful number, since it uses less digits than its factorization.

4006066440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22686 (or 22682 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 4006066440 is about 63293.4944524317. The cubic root of 4006066440 is about 1588.2031360583.

The spelling of 4006066440 in words is "four billion, six million, sixty-six thousand, four hundred forty".