40166251278345 has 64 divisors (see below), whose sum is σ = 71909735692800. Its totient is φ = 21271199788800.

The previous prime is 40166251278331. The next prime is 40166251278353. The reversal of 40166251278345 is 54387215266104.

40166251278345 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 6 + 2 + 512 + 7 + 83 + 45 = 666.

It is not a de Polignac number, because 40166251278345 - 2⁶ = 40166251278281 is a prime.

It is a super-2 number, since 2×40166251278345² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40166251278291 and 40166251278300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48287379 + ... + 49112151.

It is an arithmetic number, because the mean of its divisors is an integer number (1123589620200).

Almost surely, 2^{40166251278345} is an apocalyptic number.

40166251278345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40166251278345 is a deficient number, since it is larger than the sum of its proper divisors (31743484414455).

40166251278345 is a wasteful number, since it uses less digits than its factorization.

40166251278345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827327 (or 827321 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 40166251278345 in words is "forty trillion, one hundred sixty-six billion, two hundred fifty-one million, two hundred seventy-eight thousand, three hundred forty-five".