4011828912 has 960 divisors, whose sum is σ = 16378951680. Its totient is φ = 919683072.

The previous prime is 4011828911. The next prime is 4011828937. The reversal of 4011828912 is 2198281104.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4011828911) 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 191 ways as a sum of consecutive naturals, for example, 138338914 + ... + 138338942.

It is an arithmetic number, because the mean of its divisors is an integer number (17061408).

Almost surely, 2^4011828912 is an apocalyptic number.

4011828912 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4011828912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8189475840).

4011828912 is an abundant number, since it is smaller than the sum of its proper divisors (12367122768).

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

4011828912 is a wasteful number, since it uses less digits than its factorization.

4011828912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 4011828912 is about 63338.9999289537. Note that the first 4 decimals coincide. The cubic root of 4011828912 is about 1588.9642809839.

The spelling of 4011828912 in words is "four billion, eleven million, eight hundred twenty-eight thousand, nine hundred twelve".