4050404000 has 48 divisors (see below), whose sum is σ = 9951852456. Its totient is φ = 1620160000.

The previous prime is 4050403991. The next prime is 4050404009. The reversal of 4050404000 is 4040504.

It is an interprime number because it is at equal distance from previous prime (4050403991) and next prime (4050404009).

It can be written as a sum of positive squares in 4 ways, for example, as 1758292624 + 2292111376 = 41932^2 + 47876^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4050404000.

It is not an unprimeable number, because it can be changed into a prime (4050404009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 502301 + ... + 510300.

Almost surely, 2^4050404000 is an apocalyptic number.

4050404000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4050404000 is an abundant number, since it is smaller than the sum of its proper divisors (5901448456).

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

4050404000 is a wasteful number, since it uses less digits than its factorization.

4050404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012626 (or 1012608 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 4050404000 is about 63642.7843514094. The cubic root of 4050404000 is about 1594.0408537477.

Adding to 4050404000 its reverse (4040504), we get a palindrome (4054444504).

The spelling of 4050404000 in words is "four billion, fifty million, four hundred four thousand".