4004020040 has 32 divisors (see below), whose sum is σ = 9011106360. Its totient is φ = 1601241600.

The previous prime is 4004020003. The next prime is 4004020051. The reversal of 4004020040 is 400204004.

It can be written as a sum of positive squares in 4 ways, for example, as 4001068516 + 2951524 = 63254^2 + 1718^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4004019997 and 4004020024.

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, 226730 + ... + 243750.

Almost surely, 2^4004020040 is an apocalyptic number.

4004020040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004020040 is an abundant number, since it is smaller than the sum of its proper divisors (5007086320).

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

4004020040 is a wasteful number, since it uses less digits than its factorization.

4004020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22913 (or 22909 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4004020040 is about 63277.3264289824. The cubic root of 4004020040 is about 1587.9326585617.

Adding to 4004020040 its reverse (400204004), we get a palindrome (4404224044).

The spelling of 4004020040 in words is "four billion, four million, twenty thousand, forty".