4033880448 has 128 divisors (see below), whose sum is σ = 11821269600. Its totient is φ = 1210859520.

The previous prime is 4033880447. The next prime is 4033880449. The reversal of 4033880448 is 8440883304.

It is an interprime number because it is at equal distance from previous prime (4033880447) and next prime (4033880449).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4033880447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194818 + ... + 214526.

Almost surely, 2^4033880448 is an apocalyptic number.

4033880448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4033880448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5910634800).

4033880448 is an abundant number, since it is smaller than the sum of its proper divisors (7787389152).

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

4033880448 is a wasteful number, since it uses less digits than its factorization.

4033880448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19780 (or 19768 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 4033880448 is about 63512.8368757057. The cubic root of 4033880448 is about 1591.8702789010.

It can be divided in two parts, 40338 and 80448, that added together give a triangular number (120786 = T₄₉₁).

The spelling of 4033880448 in words is "four billion, thirty-three million, eight hundred eighty thousand, four hundred forty-eight".