4005882540 has 120 divisors (see below), whose sum is σ = 13709081232. Its totient is φ = 971118720.

The previous prime is 4005882511. The next prime is 4005882541. The reversal of 4005882540 is 452885004.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4005882495 and 4005882504.

It is not an unprimeable number, because it can be changed into a prime (4005882541) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 94579 + ... + 130218.

Almost surely, 2^4005882540 is an apocalyptic number.

It is an amenable number.

4005882540 is an abundant number, since it is smaller than the sum of its proper divisors (9703198692).

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

4005882540 is a wasteful number, since it uses less digits than its factorization.

4005882540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224829 (or 224818 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 4005882540 is about 63292.0416798194. The cubic root of 4005882540 is about 1588.1788333306.

The spelling of 4005882540 in words is "four billion, five million, eight hundred eighty-two thousand, five hundred forty".