4008581642 has 24 divisors (see below), whose sum is σ = 6515004960. Its totient is φ = 1848971280.

The previous prime is 4008581617. The next prime is 4008581683. The reversal of 4008581642 is 2461858004.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4008581596 and 4008581605.

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 11 ways as a sum of consecutive naturals, for example, 812459 + ... + 817377.

It is an arithmetic number, because the mean of its divisors is an integer number (271458540).

Almost surely, 2^4008581642 is an apocalyptic number.

4008581642 is a deficient number, since it is larger than the sum of its proper divisors (2506423318).

4008581642 is a wasteful number, since it uses less digits than its factorization.

4008581642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7358 (or 7345 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 4008581642 is about 63313.3606910895. The cubic root of 4008581642 is about 1588.5354500662.

The spelling of 4008581642 in words is "four billion, eight million, five hundred eighty-one thousand, six hundred forty-two".