40385646675 has 216 divisors, whose sum is σ = 85441093920. Its totient is φ = 18154752000.

The previous prime is 40385646673. The next prime is 40385646737. The reversal of 40385646675 is 57664658304.

40385646675 is a `hidden beast` number, since 4 + 0 + 3 + 8 + 564 + 6 + 6 + 75 = 666.

It is not a de Polignac number, because 40385646675 - 2¹ = 40385646673 is a prime.

It is a super-3 number, since 3×40385646675³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (40385646673) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 32859961 + ... + 32861189.

It is an arithmetic number, because the mean of its divisors is an integer number (395560620).

Almost surely, 2^40385646675 is an apocalyptic number.

40385646675 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40385646675 is an abundant number, since it is smaller than the sum of its proper divisors (45055447245).

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

40385646675 is a wasteful number, since it uses less digits than its factorization.

40385646675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 40385646675 in words is "forty billion, three hundred eighty-five million, six hundred forty-six thousand, six hundred seventy-five".