2410400040413 has 2 divisors, whose sum is σ = 2410400040414. Its totient is φ = 2410400040412.

The previous prime is 2410400040409. The next prime is 2410400040427. The reversal of 2410400040413 is 3140400040142.

It is a happy number.

2410400040413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2399608570489 + 10791469924 = 1549067^2 + 103882^2 .

It is a cyclic number.

It is not a de Polignac number, because 2410400040413 - 2² = 2410400040409 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2410400040473) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1205200020206 + 1205200020207.

It is an arithmetic number, because the mean of its divisors is an integer number (1205200020207).

Almost surely, 2^{2410400040413} is an apocalyptic number.

It is an amenable number.

2410400040413 is a deficient number, since it is larger than the sum of its proper divisors (1).

2410400040413 is an equidigital number, since it uses as much as digits as its factorization.

2410400040413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 2410400040413 its reverse (3140400040142), we get a palindrome (5550800080555).

The spelling of 2410400040413 in words is "two trillion, four hundred ten billion, four hundred million, forty thousand, four hundred thirteen".