40019967 has 32 divisors (see below), whose sum is σ = 64478400. Its totient is φ = 24385536.

The previous prime is 40019957. The next prime is 40019981. The reversal of 40019967 is 76991004.

40019967 is a `hidden beast` number, since 400 + 199 + 67 = 666.

It is not a de Polignac number, because 40019967 - 2¹⁰ = 40018943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40019957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39159 + ... + 40167.

It is an arithmetic number, because the mean of its divisors is an integer number (2014950).

Almost surely, 2^40019967 is an apocalyptic number.

40019967 is a deficient number, since it is larger than the sum of its proper divisors (24458433).

40019967 is a wasteful number, since it uses less digits than its factorization.

40019967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 40019967 is about 6326.1336533463. The cubic root of 40019967 is about 342.0520850190.

Subtracting from 40019967 its sum of digits (36), we obtain a triangular number (40019931 = T₈₉₄₆).

The spelling of 40019967 in words is "forty million, nineteen thousand, nine hundred sixty-seven".