4002505312 has 48 divisors (see below), whose sum is σ = 8513642592. Its totient is φ = 1841310720.

The previous prime is 4002505187. The next prime is 4002505343. The reversal of 4002505312 is 2135052004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113908 + ... + 144844.

It is an arithmetic number, because the mean of its divisors is an integer number (177367554).

Almost surely, 2^4002505312 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 4002505312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4256821296).

4002505312 is an abundant number, since it is smaller than the sum of its proper divisors (4511137280).

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

4002505312 is a wasteful number, since it uses less digits than its factorization.

4002505312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31271 (or 31263 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 4002505312 is about 63265.3563334626. The cubic root of 4002505312 is about 1587.7323940436.

Adding to 4002505312 its reverse (2135052004), we get a palindrome (6137557316).

The spelling of 4002505312 in words is "four billion, two million, five hundred five thousand, three hundred twelve".