4120033144240 has 160 divisors (see below), whose sum is σ = 10343591467776. Its totient is φ = 1517169085440.

The previous prime is 4120033144237. The next prime is 4120033144273. The reversal of 4120033144240 is 424413300214.

It is a super-2 number, since 2×4120033144240² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4120033144199 and 4120033144208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 835534575 + ... + 835539505.

Almost surely, 2^{4120033144240} is an apocalyptic number.

4120033144240 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 4120033144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171795733888).

4120033144240 is an abundant number, since it is smaller than the sum of its proper divisors (6223558323536).

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

4120033144240 is a wasteful number, since it uses less digits than its factorization.

4120033144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6947 (or 6941 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4120033144240 its reverse (424413300214), we get a palindrome (4544446444454).

The spelling of 4120033144240 in words is "four trillion, one hundred twenty billion, thirty-three million, one hundred forty-four thousand, two hundred forty".