4113400400440 has 32 divisors (see below), whose sum is σ = 9270398321280. Its totient is φ = 1642649507712.

The previous prime is 4113400400419. The next prime is 4113400400449. The reversal of 4113400400440 is 440040043114.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113400400449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84683307 + ... + 84731866.

It is an arithmetic number, because the mean of its divisors is an integer number (289699947540).

Almost surely, 2^{4113400400440} is an apocalyptic number.

4113400400440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4113400400440 is an abundant number, since it is smaller than the sum of its proper divisors (5156997920840).

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

4113400400440 is a wasteful number, since it uses less digits than its factorization.

4113400400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169415791 (or 169415787 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 4113400400440 its reverse (440040043114), we get a palindrome (4553440443554).

The spelling of 4113400400440 in words is "four trillion, one hundred thirteen billion, four hundred million, four hundred thousand, four hundred forty".