40034343013101 has 12 divisors (see below), whose sum is σ = 57909877063740. Its totient is φ = 26651488449600.

The previous prime is 40034343013057. The next prime is 40034343013103. The reversal of 40034343013101 is 10131034343004.

40034343013101 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 4 + 343 + 0 + 1 + 310 + 1 = 666.

40034343013101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 22736446475625 + 17297896537476 = 4768275^2 + 4159074^2 .

It is not a de Polignac number, because 40034343013101 - 2²² = 40034338818797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40034343013103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3172789936 + ... + 3172802553.

It is an arithmetic number, because the mean of its divisors is an integer number (4825823088645).

Almost surely, 2^{40034343013101} is an apocalyptic number.

It is an amenable number.

40034343013101 is a deficient number, since it is larger than the sum of its proper divisors (17875534050639).

40034343013101 is a wasteful number, since it uses less digits than its factorization.

40034343013101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6345593196 (or 6345593193 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 40034343013101 its reverse (10131034343004), we get a palindrome (50165377356105).

The spelling of 40034343013101 in words is "forty trillion, thirty-four billion, three hundred forty-three million, thirteen thousand, one hundred one".