4005252090 has 128 divisors (see below), whose sum is σ = 12275712000. Its totient is φ = 910294848.

The previous prime is 4005251989. The next prime is 4005252133. The reversal of 4005252090 is 902525004.

4005252090 is a `hidden beast` number, since 4 + 0 + 0 + 52 + 520 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332391 + ... + 344229.

It is an arithmetic number, because the mean of its divisors is an integer number (95904000).

Almost surely, 2^4005252090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4005252090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6137856000).

4005252090 is an abundant number, since it is smaller than the sum of its proper divisors (8270459910).

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

4005252090 is a wasteful number, since it uses less digits than its factorization.

4005252090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12041 (or 12035 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 4005252090 is about 63287.0609998600. The cubic root of 4005252090 is about 1588.0955125420.

Adding to 4005252090 its reverse (902525004), we get a palindrome (4907777094).

The spelling of 4005252090 in words is "four billion, five million, two hundred fifty-two thousand, ninety".