2113324440040 has 192 divisors, whose sum is σ = 5259492362880. Its totient is φ = 763649779200.

The previous prime is 2113324439987. The next prime is 2113324440077. The reversal of 2113324440040 is 400444233112.

It is a super-2 number, since 2×2113324440040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2113324439990 and 2113324440008.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 905838714 + ... + 905841046.

It is an arithmetic number, because the mean of its divisors is an integer number (27393189390).

Almost surely, 2^{2113324440040} is an apocalyptic number.

2113324440040 is a gapful number since it is divisible by the number (20) 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 2113324440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629746181440).

2113324440040 is an abundant number, since it is smaller than the sum of its proper divisors (3146167922840).

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

2113324440040 is a wasteful number, since it uses less digits than its factorization.

2113324440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2113324440040 its reverse (400444233112), we get a palindrome (2513768673152).

The spelling of 2113324440040 in words is "two trillion, one hundred thirteen billion, three hundred twenty-four million, four hundred forty thousand, forty".