4011126336 has 336 divisors, whose sum is σ = 14045915520. Its totient is φ = 1068318720.

The previous prime is 4011126323. The next prime is 4011126341. The reversal of 4011126336 is 6336211104.

4011126336 is a `hidden beast` number, since 4 + 0 + 11 + 12 + 633 + 6 = 666.

4011126336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9527406 + ... + 9527826.

It is an arithmetic number, because the mean of its divisors is an integer number (41803320).

Almost surely, 2^4011126336 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 4011126336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7022957760).

4011126336 is an abundant number, since it is smaller than the sum of its proper divisors (10034789184).

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

4011126336 is a wasteful number, since it uses less digits than its factorization.

4011126336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4011126336 is about 63333.4535297105. The cubic root of 4011126336 is about 1588.8715191897.

The spelling of 4011126336 in words is "four billion, eleven million, one hundred twenty-six thousand, three hundred thirty-six".