4029290496 has 576 divisors, whose sum is σ = 15454333440. Its totient is φ = 979107840.

The previous prime is 4029290453. The next prime is 4029290521. The reversal of 4029290496 is 6940929204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24127405 + ... + 24127571.

It is an arithmetic number, because the mean of its divisors is an integer number (26830440).

Almost surely, 2^4029290496 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 4029290496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7727166720).

4029290496 is an abundant number, since it is smaller than the sum of its proper divisors (11425042944).

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

4029290496 is a wasteful number, since it uses less digits than its factorization.

4029290496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 4029290496 is about 63476.6925414360. The cubic root of 4029290496 is about 1591.2662797416.

The spelling of 4029290496 in words is "four billion, twenty-nine million, two hundred ninety thousand, four hundred ninety-six".