7938400226105 has 16 divisors (see below), whose sum is σ = 9587630675664. Its totient is φ = 6309693960960.

The previous prime is 7938400226093. The next prime is 7938400226117. The reversal of 7938400226105 is 5016220048397.

It is an interprime number because it is at equal distance from previous prime (7938400226093) and next prime (7938400226117).

It can be written as a sum of positive squares in 8 ways, for example, as 63933628201 + 7874466597904 = 252851^2 + 2806148^2 .

It is not a de Polignac number, because 7938400226105 - 2¹⁶ = 7938400160569 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7938400226105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8252195 + ... + 9163815.

It is an arithmetic number, because the mean of its divisors is an integer number (599226917229).

It is a 1-persistent number, because it is pandigital, but 2⋅7938400226105 = 15876800452210 is not.

Almost surely, 2^{7938400226105} is an apocalyptic number.

It is an amenable number.

7938400226105 is a deficient number, since it is larger than the sum of its proper divisors (1649230449559).

7938400226105 is a wasteful number, since it uses less digits than its factorization.

7938400226105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922876.

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 7938400226105 in words is "seven trillion, nine hundred thirty-eight billion, four hundred million, two hundred twenty-six thousand, one hundred five".