40193117951 has 16 divisors (see below), whose sum is σ = 46547536896. Its totient is φ = 33994850496.

The previous prime is 40193117947. The next prime is 40193117957. The reversal of 40193117951 is 15971139104.

It is a cyclic number.

It is not a de Polignac number, because 40193117951 - 2² = 40193117947 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40193117899 and 40193117908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40193117957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34670 + ... + 285636.

It is an arithmetic number, because the mean of its divisors is an integer number (2909221056).

Almost surely, 2^40193117951 is an apocalyptic number.

40193117951 is a deficient number, since it is larger than the sum of its proper divisors (6354418945).

40193117951 is a wasteful number, since it uses less digits than its factorization.

40193117951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251278.

The product of its (nonzero) digits is 34020, while the sum is 41.

The spelling of 40193117951 in words is "forty billion, one hundred ninety-three million, one hundred seventeen thousand, nine hundred fifty-one".