4009798624 has 48 divisors (see below), whose sum is σ = 8513642592. Its totient is φ = 1848043008.

The previous prime is 4009798621. The next prime is 4009798631. The reversal of 4009798624 is 4268979004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4009798621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302602 + ... + 315574.

It is an arithmetic number, because the mean of its divisors is an integer number (177367554).

Almost surely, 2^4009798624 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 4009798624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4256821296).

4009798624 is an abundant number, since it is smaller than the sum of its proper divisors (4503843968).

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

4009798624 is a wasteful number, since it uses less digits than its factorization.

4009798624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13739 (or 13731 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The square root of 4009798624 is about 63322.9707452201. The cubic root of 4009798624 is about 1588.6961904990.

The spelling of 4009798624 in words is "four billion, nine million, seven hundred ninety-eight thousand, six hundred twenty-four".