4113320022240 has 192 divisors, whose sum is σ = 15222160783872. Its totient is φ = 920463206400.

The previous prime is 4113320022191. The next prime is 4113320022247. The reversal of 4113320022240 is 422200233114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4113320022240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113320022247) by changing a digit.

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, 29894356 + ... + 30031635.

It is an arithmetic number, because the mean of its divisors is an integer number (79282087416).

Almost surely, 2^{4113320022240} is an apocalyptic number.

4113320022240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4113320022240 is an abundant number, since it is smaller than the sum of its proper divisors (11108840761632).

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

4113320022240 is a wasteful number, since it uses less digits than its factorization.

4113320022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59926033 (or 59926025 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4113320022240 its reverse (422200233114), we get a palindrome (4535520255354).

The spelling of 4113320022240 in words is "four trillion, one hundred thirteen billion, three hundred twenty million, twenty-two thousand, two hundred forty".