40357431405 has 24 divisors (see below), whose sum is σ = 69969276312. Its totient is φ = 21518918784.

The previous prime is 40357431383. The next prime is 40357431407. The reversal of 40357431405 is 50413475304.

40357431405 is a `hidden beast` number, since 40 + 3 + 574 + 3 + 1 + 40 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16685147241 + 23672284164 = 129171^2 + 153858^2 .

It is not a de Polignac number, because 40357431405 - 2¹⁵ = 40357398637 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40357431405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40357431407) 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 23 ways as a sum of consecutive naturals, for example, 93147 + ... + 298983.

It is an arithmetic number, because the mean of its divisors is an integer number (2915386513).

Almost surely, 2^40357431405 is an apocalyptic number.

40357431405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40357431405 is a deficient number, since it is larger than the sum of its proper divisors (29611844907).

40357431405 is a wasteful number, since it uses less digits than its factorization.

40357431405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210205 (or 210202 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 40357431405 in words is "forty billion, three hundred fifty-seven million, four hundred thirty-one thousand, four hundred five".