42478487424 has 256 divisors, whose sum is σ = 128119752000. Its totient is φ = 13852311552.

The previous prime is 42478487413. The next prime is 42478487449.

42478487424 is a `hidden beast` number, since 42 + 478 + 48 + 74 + 24 = 666.

42478487424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 34562842 + ... + 34564070.

Almost surely, 2^42478487424 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 42478487424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64059876000).

42478487424 is an abundant number, since it is smaller than the sum of its proper divisors (85641264576).

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

42478487424 is a wasteful number, since it uses less digits than its factorization.

42478487424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1444 counting only the distinct ones).

The product of its digits is 12845056, while the sum is 54.

The spelling of 42478487424 in words is "forty-two billion, four hundred seventy-eight million, four hundred eighty-seven thousand, four hundred twenty-four".