4008400448 has 28 divisors (see below), whose sum is σ = 8566030620. Its totient is φ = 1850030592.

The previous prime is 4008400391. The next prime is 4008400457. The reversal of 4008400448 is 8440048004.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1305232384 + 2703168064 = 36128^2 + 51992^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2408063 + ... + 2409726.

It is an arithmetic number, because the mean of its divisors is an integer number (305929665).

Almost surely, 2^4008400448 is an apocalyptic number.

It is an amenable number.

4008400448 is an abundant number, since it is smaller than the sum of its proper divisors (4557630172).

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

4008400448 is a wasteful number, since it uses less digits than its factorization.

4008400448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817814 (or 4817804 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 4008400448 is about 63311.9297447171. The cubic root of 4008400448 is about 1588.5115149644.

The spelling of 4008400448 in words is "four billion, eight million, four hundred thousand, four hundred forty-eight".