4033122144020 has 96 divisors (see below), whose sum is σ = 9284454900000. Its totient is φ = 1464816697344.

The previous prime is 4033122144017. The next prime is 4033122144059. The reversal of 4033122144020 is 204412213304.

It can be written as a sum of positive squares in 16 ways, for example, as 129921318916 + 3903200825104 = 360446^2 + 1975652^2 .

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12151394 + ... + 12478886.

It is an arithmetic number, because the mean of its divisors is an integer number (96713071875).

Almost surely, 2^{4033122144020} 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 4033122144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642227450000).

4033122144020 is an abundant number, since it is smaller than the sum of its proper divisors (5251332755980).

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

4033122144020 is a wasteful number, since it uses less digits than its factorization.

4033122144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328797 (or 328795 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 4033122144020 its reverse (204412213304), we get a palindrome (4237534357324).

The spelling of 4033122144020 in words is "four trillion, thirty-three billion, one hundred twenty-two million, one hundred forty-four thousand, twenty".