40105431135 has 384 divisors, whose sum is σ = 96574832640. Its totient is φ = 14892595200.

The previous prime is 40105431133. The next prime is 40105431137. The reversal of 40105431135 is 53113450104.

It is a happy number.

40105431135 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 543 + 113 + 5 = 666.

40105431135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40105431133) and next prime (40105431137).

It is not a de Polignac number, because 40105431135 - 2¹ = 40105431133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40105431099 and 40105431108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40105431133) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 87757827 + ... + 87758283.

It is an arithmetic number, because the mean of its divisors is an integer number (251496960).

Almost surely, 2^40105431135 is an apocalyptic number.

40105431135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40105431135 is an abundant number, since it is smaller than the sum of its proper divisors (56469401505).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40105431135 is a wasteful number, since it uses less digits than its factorization.

40105431135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 40105431135 its reverse (53113450104), we get a palindrome (93218881239).

The spelling of 40105431135 in words is "forty billion, one hundred five million, four hundred thirty-one thousand, one hundred thirty-five".