40034242414413 has 48 divisors (see below), whose sum is σ = 62832927581424. Its totient is φ = 24415975342080.

The previous prime is 40034242414403. The next prime is 40034242414423. The reversal of 40034242414413 is 31441424243004.

40034242414413 is a `hidden beast` number, since 40 + 0 + 3 + 42 + 424 + 144 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (40034242414403) and next prime (40034242414423).

It can be written as a sum of positive squares in 8 ways, for example, as 18237323988324 + 21796918426089 = 4270518^2 + 4668717^2 .

It is not a de Polignac number, because 40034242414413 - 2²¹ = 40034240317261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40034242414403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135671953 + ... + 135966713.

It is an arithmetic number, because the mean of its divisors is an integer number (1309019324613).

Almost surely, 2^{40034242414413} is an apocalyptic number.

It is an amenable number.

40034242414413 is a deficient number, since it is larger than the sum of its proper divisors (22798685167011).

40034242414413 is a wasteful number, since it uses less digits than its factorization.

40034242414413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305166 (or 305163 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 40034242414413 its reverse (31441424243004), we get a palindrome (71475666657417).

The spelling of 40034242414413 in words is "forty trillion, thirty-four billion, two hundred forty-two million, four hundred fourteen thousand, four hundred thirteen".