2413114103040 has 288 divisors, whose sum is σ = 8046127837440. Its totient is φ = 615200391168.

The previous prime is 2413114103039. The next prime is 2413114103069. The reversal of 2413114103040 is 403014113142.

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 2413114103040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203924964 + ... + 203936796.

It is an arithmetic number, because the mean of its divisors is an integer number (27937943880).

Almost surely, 2^{2413114103040} is an apocalyptic number.

2413114103040 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 2413114103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023063918720).

2413114103040 is an abundant number, since it is smaller than the sum of its proper divisors (5633013734400).

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

2413114103040 is a wasteful number, since it uses less digits than its factorization.

2413114103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14189 (or 14175 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2413114103040 its reverse (403014113142), we get a palindrome (2816128216182).

The spelling of 2413114103040 in words is "two trillion, four hundred thirteen billion, one hundred fourteen million, one hundred three thousand, forty".