40157433517 has 16 divisors (see below), whose sum is σ = 41940518832. Its totient is φ = 38414476800.

The previous prime is 40157433509. The next prime is 40157433571. The reversal of 40157433517 is 71533475104.

It can be written as a sum of positive squares in 8 ways, for example, as 2665243876 + 37492189641 = 51626^2 + 193629^2 .

It is a cyclic number.

It is not a de Polignac number, because 40157433517 - 2³ = 40157433509 is a prime.

It is a super-3 number, since 3×40157433517³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 40157433517.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40157433577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 832767 + ... + 879667.

It is an arithmetic number, because the mean of its divisors is an integer number (2621282427).

Almost surely, 2^40157433517 is an apocalyptic number.

It is an amenable number.

40157433517 is a deficient number, since it is larger than the sum of its proper divisors (1783085315).

40157433517 is a wasteful number, since it uses less digits than its factorization.

40157433517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47328.

The product of its (nonzero) digits is 176400, while the sum is 40.

The spelling of 40157433517 in words is "forty billion, one hundred fifty-seven million, four hundred thirty-three thousand, five hundred seventeen".