42461155116424 has 32 divisors (see below), whose sum is σ = 87288806808000. Its totient is φ = 19203537481920.

The previous prime is 42461155116383. The next prime is 42461155116431.

42461155116424 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1212327027 + ... + 1212362050.

It is an arithmetic number, because the mean of its divisors is an integer number (2727775212750).

Almost surely, 2^{42461155116424} is an apocalyptic number.

42461155116424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42461155116424 is an abundant number, since it is smaller than the sum of its proper divisors (44827651691576).

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

42461155116424 is a wasteful number, since it uses less digits than its factorization.

42461155116424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424689293 (or 2424689289 counting only the distinct ones).

The product of its digits is 921600, while the sum is 46.

The spelling of 42461155116424 in words is "forty-two trillion, four hundred sixty-one billion, one hundred fifty-five million, one hundred sixteen thousand, four hundred twenty-four".