4011522144 has 96 divisors (see below), whose sum is σ = 12045148416. Its totient is φ = 1145141760.

The previous prime is 4011522143. The next prime is 4011522149. The reversal of 4011522144 is 4412251104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4011522143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1118434 + ... + 1122014.

It is an arithmetic number, because the mean of its divisors is an integer number (125470296).

Almost surely, 2^4011522144 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 4011522144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6022574208).

4011522144 is an abundant number, since it is smaller than the sum of its proper divisors (8033626272).

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

4011522144 is a wasteful number, since it uses less digits than its factorization.

4011522144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 4011522144 is about 63336.5782466972. The cubic root of 4011522144 is about 1588.9237794379.

Adding to 4011522144 its reverse (4412251104), we get a palindrome (8423773248).

The spelling of 4011522144 in words is "four billion, eleven million, five hundred twenty-two thousand, one hundred forty-four".