4005254100 has 72 divisors (see below), whose sum is σ = 11666440800. Its totient is φ = 1060887680.

The previous prime is 4005254053. The next prime is 4005254167. The reversal of 4005254100 is 14525004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102 + ... + 89501.

It is an arithmetic number, because the mean of its divisors is an integer number (162033900).

Almost surely, 2^4005254100 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 4005254100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5833220400).

4005254100 is an abundant number, since it is smaller than the sum of its proper divisors (7661186700).

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

4005254100 is a wasteful number, since it uses less digits than its factorization.

4005254100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89769 (or 89762 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 4005254100 is about 63287.0768798813. The cubic root of 4005254100 is about 1588.0957781991.

Adding to 4005254100 its reverse (14525004), we get a palindrome (4019779104).

The spelling of 4005254100 in words is "four billion, five million, two hundred fifty-four thousand, one hundred".