4009229952 has 384 divisors, whose sum is σ = 13958528640. Its totient is φ = 992673792.

The previous prime is 4009229929. The next prime is 4009229953. The reversal of 4009229952 is 2599229004.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×4009229952³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4009229953) 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, 10098618 + ... + 10099014.

It is an arithmetic number, because the mean of its divisors is an integer number (36350335).

Almost surely, 2^4009229952 is an apocalyptic number.

4009229952 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 4009229952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6979264320).

4009229952 is an abundant number, since it is smaller than the sum of its proper divisors (9949298688).

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

4009229952 is a wasteful number, since it uses less digits than its factorization.

4009229952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 4009229952 is about 63318.4803355229. The cubic root of 4009229952 is about 1588.6210836722.

The spelling of 4009229952 in words is "four billion, nine million, two hundred twenty-nine thousand, nine hundred fifty-two".