42416477461424 has 40 divisors (see below), whose sum is σ = 89887090286592. Its totient is φ = 19229877005120.

The previous prime is 42416477461367. The next prime is 42416477461433.

42416477461424 is nontrivially palindromic in base 10.

42416477461424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42416477461424.

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 7 ways as a sum of consecutive naturals, for example, 314557544 + ... + 314692359.

Almost surely, 2^{42416477461424} is an apocalyptic number.

42416477461424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42416477461424 is an abundant number, since it is smaller than the sum of its proper divisors (47470612825168).

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

42416477461424 is a wasteful number, since it uses less digits than its factorization.

42416477461424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629250305 (or 629250299 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 56.

The spelling of 42416477461424 in words is "forty-two trillion, four hundred sixteen billion, four hundred seventy-seven million, four hundred sixty-one thousand, four hundred twenty-four".