4020004400 has 60 divisors (see below), whose sum is σ = 10077999312. Its totient is φ = 1538085120.

The previous prime is 4020004397. The next prime is 4020004409. The reversal of 4020004400 is 44000204.

It is not an unprimeable number, because it can be changed into a prime (4020004409) by changing a digit.

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, 209279 + ... + 227678.

Almost surely, 2^4020004400 is an apocalyptic number.

4020004400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4020004400 is an abundant number, since it is smaller than the sum of its proper divisors (6057994912).

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

4020004400 is a wasteful number, since it uses less digits than its factorization.

4020004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436998 (or 436987 counting only the distinct ones).

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

The square root of 4020004400 is about 63403.5046349963. The cubic root of 4020004400 is about 1590.0429032633.

Adding to 4020004400 its reverse (44000204), we get a palindrome (4064004604).

The spelling of 4020004400 in words is "four billion, twenty million, four thousand, four hundred".