4113113402440 has 128 divisors (see below), whose sum is σ = 11135551392000. Its totient is φ = 1335711264768.

The previous prime is 4113113402371. The next prime is 4113113402449. The reversal of 4113113402440 is 442043113114.

4113113402440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4113113402440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4113113402399 and 4113113402408.

It is not an unprimeable number, because it can be changed into a prime (4113113402449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26357284 + ... + 26512876.

It is an arithmetic number, because the mean of its divisors is an integer number (86996495250).

Almost surely, 2^{4113113402440} is an apocalyptic number.

4113113402440 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 4113113402440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567775696000).

4113113402440 is an abundant number, since it is smaller than the sum of its proper divisors (7022437989560).

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

4113113402440 is a wasteful number, since it uses less digits than its factorization.

4113113402440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160599 (or 160595 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 4113113402440 its reverse (442043113114), we get a palindrome (4555156515554).

The spelling of 4113113402440 in words is "four trillion, one hundred thirteen billion, one hundred thirteen million, four hundred two thousand, four hundred forty".