42461216424 has 144 divisors (see below), whose sum is σ = 126554500800. Its totient is φ = 12851720640.

The previous prime is 42461216417. The next prime is 42461216467.

42461216424 is a `hidden beast` number, since 4 + 2 + 4 + 6 + 1 + 2 + 1 + 642 + 4 = 666.

42461216424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8875137 + ... + 8879919.

It is an arithmetic number, because the mean of its divisors is an integer number (878850700).

Almost surely, 2^42461216424 is an apocalyptic number.

42461216424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42461216424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63277250400).

42461216424 is an abundant number, since it is smaller than the sum of its proper divisors (84093284376).

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

42461216424 is a wasteful number, since it uses less digits than its factorization.

42461216424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5836 (or 5818 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 42461216424 in words is "forty-two billion, four hundred sixty-one million, two hundred sixteen thousand, four hundred twenty-four".