40235073622065 has 192 divisors, whose sum is σ = 80804690104320. Its totient is φ = 18140672908800.

The previous prime is 40235073622049. The next prime is 40235073622097. The reversal of 40235073622065 is 56022637053204.

40235073622065 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 507 + 3 + 62 + 20 + 65 = 666.

It is not a de Polignac number, because 40235073622065 - 2⁴ = 40235073622049 is a prime.

It is a super-2 number, since 2×40235073622065² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 40235073622065.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10415497324 + ... + 10415501186.

It is an arithmetic number, because the mean of its divisors is an integer number (420857760960).

Almost surely, 2^{40235073622065} is an apocalyptic number.

40235073622065 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40235073622065 is an abundant number, since it is smaller than the sum of its proper divisors (40569616482255).

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

40235073622065 is a wasteful number, since it uses less digits than its factorization.

40235073622065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5164 (or 5161 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 40235073622065 in words is "forty trillion, two hundred thirty-five billion, seventy-three million, six hundred twenty-two thousand, sixty-five".