4010909952 has 288 divisors, whose sum is σ = 12922527744. Its totient is φ = 1080115200.

The previous prime is 4010909897. The next prime is 4010909957. The reversal of 4010909952 is 2599090104.

It is a self number, because there is not a number n which added to its sum of digits gives 4010909952.

It is not an unprimeable number, because it can be changed into a prime (4010909957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6832603 + ... + 6833189.

It is an arithmetic number, because the mean of its divisors is an integer number (44869888).

Almost surely, 2^4010909952 is an apocalyptic number.

4010909952 is a gapful number since it is divisible by the number (42) 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 4010909952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6461263872).

4010909952 is an abundant number, since it is smaller than the sum of its proper divisors (8911617792).

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

4010909952 is a wasteful number, since it uses less digits than its factorization.

4010909952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 4010909952 is about 63331.7452151763. The cubic root of 4010909952 is about 1588.8429476175.

The spelling of 4010909952 in words is "four billion, ten million, nine hundred nine thousand, nine hundred fifty-two".