4011331104 has 288 divisors, whose sum is σ = 12928144320. Its totient is φ = 1169203200.

The previous prime is 4011331019. The next prime is 4011331133.

4011331104 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11559859 + ... + 11560205.

It is an arithmetic number, because the mean of its divisors is an integer number (44889390).

Almost surely, 2^4011331104 is an apocalyptic number.

4011331104 is a gapful number since it is divisible by the number (44) 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 4011331104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6464072160).

4011331104 is an abundant number, since it is smaller than the sum of its proper divisors (8916813216).

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

4011331104 is a wasteful number, since it uses less digits than its factorization.

4011331104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4011331104 is about 63335.0700954850. The cubic root of 4011331104 is about 1588.8985560267.

It can be divided in two parts, 40113 and 31104, that added together give a palindrome (71217).

The spelling of 4011331104 in words is "four billion, eleven million, three hundred thirty-one thousand, one hundred four".