40457957 has 2 divisors, whose sum is σ = 40457958. Its totient is φ = 40457956.

The previous prime is 40457951. The next prime is 40457959. The reversal of 40457957 is 75975404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39866596 + 591361 = 6314^2 + 769^2 .

It is a cyclic number.

It is not a de Polignac number, because 40457957 - 2⁴ = 40457941 is a prime.

It is a super-3 number, since 3×40457957³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 40457959, it forms a pair of twin primes.

It is a Chen prime.

It is a nialpdrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40457951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20228978 + 20228979.

It is an arithmetic number, because the mean of its divisors is an integer number (20228979).

Almost surely, 2^40457957 is an apocalyptic number.

It is an amenable number.

40457957 is a deficient number, since it is larger than the sum of its proper divisors (1).

40457957 is an equidigital number, since it uses as much as digits as its factorization.

40457957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 176400, while the sum is 41.

The square root of 40457957 is about 6360.6569629245. The cubic root of 40457957 is about 343.2953989781.

It can be divided in two parts, 40457 and 957, that added together give a palindrome (41414).

The spelling of 40457957 in words is "forty million, four hundred fifty-seven thousand, nine hundred fifty-seven".