4022400448 has 224 divisors, whose sum is σ = 9548969472. Its totient is φ = 1662566400.

The previous prime is 4022400439. The next prime is 4022400449. The reversal of 4022400448 is 8440042204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022400449) 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 31 ways as a sum of consecutive naturals, for example, 48462615 + ... + 48462697.

It is an arithmetic number, because the mean of its divisors is an integer number (42629328).

Almost surely, 2^4022400448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4022400448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4774484736).

4022400448 is an abundant number, since it is smaller than the sum of its proper divisors (5526569024).

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

4022400448 is a wasteful number, since it uses less digits than its factorization.

4022400448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 4022400448 is about 63422.3970534069. The cubic root of 4022400448 is about 1590.3587455747.

The spelling of 4022400448 in words is "four billion, twenty-two million, four hundred thousand, four hundred forty-eight".