42415851424 has 48 divisors (see below), whose sum is σ = 84991485600. Its totient is φ = 20831305984.

The previous prime is 42415851371. The next prime is 42415851433.

It is a happy number.

42415851424 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2459022 + ... + 2476210.

It is an arithmetic number, because the mean of its divisors is an integer number (1770655950).

Almost surely, 2^42415851424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42415851424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42495742800).

42415851424 is an abundant number, since it is smaller than the sum of its proper divisors (42575634176).

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

42415851424 is a wasteful number, since it uses less digits than its factorization.

42415851424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18565 (or 18557 counting only the distinct ones).

The product of its digits is 204800, while the sum is 40.

The spelling of 42415851424 in words is "forty-two billion, four hundred fifteen million, eight hundred fifty-one thousand, four hundred twenty-four".