4133120240 has 160 divisors (see below), whose sum is σ = 10681994880. Its totient is φ = 1479278592.

The previous prime is 4133120237. The next prime is 4133120269. The reversal of 4133120240 is 420213314.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 7162832 + ... + 7163408.

It is an arithmetic number, because the mean of its divisors is an integer number (66762468).

Almost surely, 2^4133120240 is an apocalyptic number.

4133120240 is a gapful number since it is divisible by the number (40) 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 4133120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5340997440).

4133120240 is an abundant number, since it is smaller than the sum of its proper divisors (6548874640).

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

4133120240 is a wasteful number, since it uses less digits than its factorization.

4133120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4133120240 is about 64289.3477957274. The cubic root of 4133120240 is about 1604.8188367707.

Adding to 4133120240 its reverse (420213314), we get a palindrome (4553333554).

The spelling of 4133120240 in words is "four billion, one hundred thirty-three million, one hundred twenty thousand, two hundred forty".