40168844072073 has 12 divisors (see below), whose sum is σ = 59116412031300. Its totient is φ = 26273960902176.

The previous prime is 40168844072033. The next prime is 40168844072089. The reversal of 40168844072073 is 37027044886104.

40168844072073 is a `hidden beast` number, since 4 + 0 + 1 + 68 + 8 + 440 + 72 + 0 + 73 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32446375453584 + 7722468618489 = 5696172^2 + 2778933^2 .

It is not a de Polignac number, because 40168844072073 - 2¹⁶ = 40168844006537 is a prime.

It is a super-2 number, since 2×40168844072073² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40168844072033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42105706098 + ... + 42105707051.

It is an arithmetic number, because the mean of its divisors is an integer number (4926367669275).

Almost surely, 2^{40168844072073} is an apocalyptic number.

It is an amenable number.

40168844072073 is a deficient number, since it is larger than the sum of its proper divisors (18947567959227).

40168844072073 is a wasteful number, since it uses less digits than its factorization.

40168844072073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84211413208 (or 84211413205 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 40168844072073 in words is "forty trillion, one hundred sixty-eight billion, eight hundred forty-four million, seventy-two thousand, seventy-three".