4005225004 has 48 divisors (see below), whose sum is σ = 8070652800. Its totient is φ = 1720051200.

The previous prime is 4005224987. The next prime is 4005225053.

4005225004 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310524 + ... + 323164.

It is an arithmetic number, because the mean of its divisors is an integer number (168138600).

Almost surely, 2^4005225004 is an apocalyptic number.

4005225004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4005225004 is an abundant number, since it is smaller than the sum of its proper divisors (4065427796).

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

4005225004 is a wasteful number, since it uses less digits than its factorization.

4005225004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13054 (or 13052 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 4005225004 is about 63286.8470063093. The cubic root of 4005225004 is about 1588.0919326381.

It can be divided in two parts, 40052 and 25004, that added together give a palindrome (65056).

The spelling of 4005225004 in words is "four billion, five million, two hundred twenty-five thousand, four".