4334400448 has 140 divisors (see below), whose sum is σ = 10207941992. Its totient is φ = 1825528320.

The previous prime is 4334400437. The next prime is 4334400463. The reversal of 4334400448 is 8440044334.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 10295278 + ... + 10295698.

Almost surely, 2^4334400448 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 4334400448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5103970996).

4334400448 is an abundant number, since it is smaller than the sum of its proper divisors (5873541544).

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

4334400448 is an frugal number, since it uses more digits than its factorization.

4334400448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

The square root of 4334400448 is about 65836.1636792424. The cubic root of 4334400448 is about 1630.4582309111.

The spelling of 4334400448 in words is "four billion, three hundred thirty-four million, four hundred thousand, four hundred forty-eight".