4005342152 has 64 divisors (see below), whose sum is σ = 8805888000. Its totient is φ = 1672104960.

The previous prime is 4005342149. The next prime is 4005342169. The reversal of 4005342152 is 2512435004.

It is a happy number.

It is a super-2 number, since 2×4005342152² = 32085531509175982208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2407673 + ... + 2409335.

It is an arithmetic number, because the mean of its divisors is an integer number (137592000).

Almost surely, 2^4005342152 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 4005342152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402944000).

4005342152 is an abundant number, since it is smaller than the sum of its proper divisors (4800545848).

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

4005342152 is a wasteful number, since it uses less digits than its factorization.

4005342152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 4005342152 is about 63287.7725315088. The cubic root of 4005342152 is about 1588.1074157450.

Adding to 4005342152 its reverse (2512435004), we get a palindrome (6517777156).

It can be divided in two parts, 400534 and 2152, that multiplied together give a palindrome (861949168).

The spelling of 4005342152 in words is "four billion, five million, three hundred forty-two thousand, one hundred fifty-two".