4113002100440 has 128 divisors (see below), whose sum is σ = 10166530752000. Its totient is φ = 1490600060928.

The previous prime is 4113002100419. The next prime is 4113002100511. The reversal of 4113002100440 is 440012003114.

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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131731151 + ... + 131762369.

It is an arithmetic number, because the mean of its divisors is an integer number (79426021500).

Almost surely, 2^{4113002100440} is an apocalyptic number.

4113002100440 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 4113002100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5083265376000).

4113002100440 is an abundant number, since it is smaller than the sum of its proper divisors (6053528651560).

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

4113002100440 is a wasteful number, since it uses less digits than its factorization.

4113002100440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38809 (or 38805 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 4113002100440 its reverse (440012003114), we get a palindrome (4553014103554).

The spelling of 4113002100440 in words is "four trillion, one hundred thirteen billion, two million, one hundred thousand, four hundred forty".