34442101413 has 24 divisors (see below), whose sum is σ = 50000261376. Its totient is φ = 22845888000.

The previous prime is 34442101411. The next prime is 34442101417. The reversal of 34442101413 is 31410124443.

34442101413 is a `hidden beast` number, since 3 + 444 + 210 + 1 + 4 + 1 + 3 = 666.

It is not a de Polignac number, because 34442101413 - 2¹ = 34442101411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34442101411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3981573 + ... + 3990213.

It is an arithmetic number, because the mean of its divisors is an integer number (2083344224).

Almost surely, 2^34442101413 is an apocalyptic number.

It is an amenable number.

34442101413 is a deficient number, since it is larger than the sum of its proper divisors (15558159963).

34442101413 is a wasteful number, since it uses less digits than its factorization.

34442101413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10825 (or 10822 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 34442101413 its reverse (31410124443), we get a palindrome (65852225856).

The spelling of 34442101413 in words is "thirty-four billion, four hundred forty-two million, one hundred one thousand, four hundred thirteen".