42257424384 has 448 divisors, whose sum is σ = 146267424000. Its totient is φ = 12051873792.

The previous prime is 42257424359. The next prime is 42257424397. The reversal of 42257424384 is 48342475224.

42257424384 is a `hidden beast` number, since 4 + 22 + 574 + 24 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75865834 + ... + 75866390.

Almost surely, 2^42257424384 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 42257424384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73133712000).

42257424384 is an abundant number, since it is smaller than the sum of its proper divisors (104009999616).

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

42257424384 is an frugal number, since it uses more digits than its factorization.

42257424384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 569 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 45.

The spelling of 42257424384 in words is "forty-two billion, two hundred fifty-seven million, four hundred twenty-four thousand, three hundred eighty-four".