40410552105 has 180 divisors, whose sum is σ = 92629054980. Its totient is φ = 16792997760.

The previous prime is 40410552079. The next prime is 40410552131. The reversal of 40410552105 is 50125501404.

40410552105 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 0 + 552 + 105 = 666.

It is an interprime number because it is at equal distance from previous prime (40410552079) and next prime (40410552131).

It can be written as a sum of positive squares in 2 ways, for example, as 5917147929 + 34493404176 = 76923^2 + 185724^2 .

It is not a de Polignac number, because 40410552105 - 2⁵ = 40410552073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2392831 + ... + 2409659.

It is an arithmetic number, because the mean of its divisors is an integer number (514605861).

Almost surely, 2^40410552105 is an apocalyptic number.

40410552105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40410552105 is an abundant number, since it is smaller than the sum of its proper divisors (52218502875).

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

40410552105 is a wasteful number, since it uses less digits than its factorization.

40410552105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16882 (or 16855 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 40410552105 in words is "forty billion, four hundred ten million, five hundred fifty-two thousand, one hundred five".