4033890144 has 144 divisors (see below), whose sum is σ = 12005177184. Its totient is φ = 1282406400.

The previous prime is 4033890143. The next prime is 4033890149. The reversal of 4033890144 is 4410983304.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4033890099 and 4033890108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4033890143) 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 23 ways as a sum of consecutive naturals, for example, 3053004 + ... + 3054324.

It is an arithmetic number, because the mean of its divisors is an integer number (83369286).

Almost surely, 2^4033890144 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 4033890144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6002588592).

4033890144 is an abundant number, since it is smaller than the sum of its proper divisors (7971287040).

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

4033890144 is a wasteful number, since it uses less digits than its factorization.

4033890144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4033890144 is about 63512.9132066858. The cubic root of 4033890144 is about 1591.8715543282.

The spelling of 4033890144 in words is "four billion, thirty-three million, eight hundred ninety thousand, one hundred forty-four".