8137042007424 has 128 divisors (see below), whose sum is σ = 23795250336000. Its totient is φ = 2443148421120.

The previous prime is 8137042007329. The next prime is 8137042007431. The reversal of 8137042007424 is 4247002407318.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×8137042007424² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8376204 + ... + 9297035.

It is an arithmetic number, because the mean of its divisors is an integer number (185900393250).

Almost surely, 2^{8137042007424} is an apocalyptic number.

It is an amenable number.

8137042007424 is an abundant number, since it is smaller than the sum of its proper divisors (15658208328576).

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

8137042007424 is a wasteful number, since it uses less digits than its factorization.

8137042007424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17673376 (or 17673364 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 8137042007424 in words is "eight trillion, one hundred thirty-seven billion, forty-two million, seven thousand, four hundred twenty-four".