40157117 has 36 divisors (see below), whose sum is σ = 55401948. Its totient is φ = 28828800.

The previous prime is 40157113. The next prime is 40157119. The reversal of 40157117 is 71175104.

It can be written as a sum of positive squares in 2 ways, for example, as 8561476 + 31595641 = 2926^2 + 5621^2 .

It is not a de Polignac number, because 40157117 - 2² = 40157113 is a prime.

It is a super-2 number, since 2×40157117² = 3225188091503378, which contains 22 as substring.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40157113) 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 35 ways as a sum of consecutive naturals, for example, 76817 + ... + 77337.

It is an arithmetic number, because the mean of its divisors is an integer number (1538943).

Almost surely, 2^40157117 is an apocalyptic number.

It is an amenable number.

40157117 is a deficient number, since it is larger than the sum of its proper divisors (15244831).

40157117 is a wasteful number, since it uses less digits than its factorization.

40157117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 26.

The square root of 40157117 is about 6336.9643363364. The cubic root of 40157117 is about 342.4423814844.

The spelling of 40157117 in words is "forty million, one hundred fifty-seven thousand, one hundred seventeen".