4005558640 has 40 divisors (see below), whose sum is σ = 9315943920. Its totient is φ = 1601703936.

The previous prime is 4005558637. The next prime is 4005558659. The reversal of 4005558640 is 468555004.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 4005558640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325072 + ... + 337168.

It is an arithmetic number, because the mean of its divisors is an integer number (232898598).

Almost surely, 2^4005558640 is an apocalyptic number.

4005558640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4005558640 is an abundant number, since it is smaller than the sum of its proper divisors (5310385280).

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

4005558640 is a wasteful number, since it uses less digits than its factorization.

4005558640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16249 (or 16243 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The square root of 4005558640 is about 63289.4828545786. The cubic root of 4005558640 is about 1588.1360275332.

The spelling of 4005558640 in words is "four billion, five million, five hundred fifty-eight thousand, six hundred forty".