4007411226 has 256 divisors, whose sum is σ = 11549260800. Its totient is φ = 1001548800.

The previous prime is 4007411209. The next prime is 4007411227. The reversal of 4007411226 is 6221147004.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4007411226.

It is not an unprimeable number, because it can be changed into a prime (4007411227) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 8692636 + ... + 8693096.

It is an arithmetic number, because the mean of its divisors is an integer number (45114300).

Almost surely, 2^4007411226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4007411226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5774630400).

4007411226 is an abundant number, since it is smaller than the sum of its proper divisors (7541849574).

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

4007411226 is a wasteful number, since it uses less digits than its factorization.

4007411226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4007411226 is about 63304.1169751226. The cubic root of 4007411226 is about 1588.3808294335.

The spelling of 4007411226 in words is "four billion, seven million, four hundred eleven thousand, two hundred twenty-six".