4005669888 has 176 divisors, whose sum is σ = 12942280320. Its totient is φ = 1213747200.

The previous prime is 4005669887. The next prime is 4005669907. The reversal of 4005669888 is 8889665004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4005669887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297543 + ... + 310713.

Almost surely, 2^4005669888 is an apocalyptic number.

4005669888 is a gapful number since it is divisible by the number (48) 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 4005669888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6471140160).

4005669888 is an abundant number, since it is smaller than the sum of its proper divisors (8936610432).

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

4005669888 is a wasteful number, since it uses less digits than its factorization.

4005669888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13211 (or 13187 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 4005669888 is about 63290.3617306774. The cubic root of 4005669888 is about 1588.1507300451.

The spelling of 4005669888 in words is "four billion, five million, six hundred sixty-nine thousand, eight hundred eighty-eight".