4034033466624 has 432 divisors, whose sum is σ = 14595933276288. Its totient is φ = 1084780118016.

The previous prime is 4034033466623. The next prime is 4034033466649. The reversal of 4034033466624 is 4266643304304.

It is a happy number.

4034033466624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 4034033466624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4034033466623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7130284 + ... + 7675220.

It is an arithmetic number, because the mean of its divisors is an integer number (33786882584).

Almost surely, 2^{4034033466624} 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 4034033466624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7297966638144).

4034033466624 is an abundant number, since it is smaller than the sum of its proper divisors (10561899809664).

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

4034033466624 is an equidigital number, since it uses as much as digits as its factorization.

4034033466624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544992 (or 544966 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 45.

The spelling of 4034033466624 in words is "four trillion, thirty-four billion, thirty-three million, four hundred sixty-six thousand, six hundred twenty-four".