4010440433121 has 48 divisors (see below), whose sum is σ = 5909674314960. Its totient is φ = 2620360089600.

The previous prime is 4010440433089. The next prime is 4010440433123. The reversal of 4010440433121 is 1213340440104.

4010440433121 is a `hidden beast` number, since 4 + 0 + 104 + 4 + 0 + 433 + 121 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1530760343121 + 2479680090000 = 1237239^2 + 1574700^2 .

It is not a de Polignac number, because 4010440433121 - 2⁵ = 4010440433089 is a prime.

It is a super-2 number, since 2×4010440433121² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4010440433123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43914535 + ... + 44005763.

It is an arithmetic number, because the mean of its divisors is an integer number (123118214895).

Almost surely, 2^{4010440433121} is an apocalyptic number.

It is an amenable number.

4010440433121 is a deficient number, since it is larger than the sum of its proper divisors (1899233881839).

4010440433121 is a wasteful number, since it uses less digits than its factorization.

4010440433121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91826 (or 91823 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4010440433121 its reverse (1213340440104), we get a palindrome (5223780873225).

The spelling of 4010440433121 in words is "four trillion, ten billion, four hundred forty million, four hundred thirty-three thousand, one hundred twenty-one".