4011121764 has 72 divisors (see below), whose sum is σ = 10928611512. Its totient is φ = 1233123840.

The previous prime is 4011121759. The next prime is 4011121769. The reversal of 4011121764 is 4671211104.

It is an interprime number because it is at equal distance from previous prime (4011121759) and next prime (4011121769).

It can be written as a sum of positive squares in 4 ways, for example, as 17892900 + 3993228864 = 4230^2 + 63192^2 .

It is not an unprimeable number, because it can be changed into a prime (4011121769) 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 23 ways as a sum of consecutive naturals, for example, 667654 + ... + 673634.

It is an arithmetic number, because the mean of its divisors is an integer number (151786271).

Almost surely, 2^4011121764 is an apocalyptic number.

It is an amenable number.

4011121764 is an abundant number, since it is smaller than the sum of its proper divisors (6917489748).

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

4011121764 is a wasteful number, since it uses less digits than its factorization.

4011121764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7437 (or 7432 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 4011121764 is about 63333.4174350319. The cubic root of 4011121764 is about 1588.8709155086.

Adding to 4011121764 its reverse (4671211104), we get a palindrome (8682332868).

The spelling of 4011121764 in words is "four billion, eleven million, one hundred twenty-one thousand, seven hundred sixty-four".