42588338382 has 64 divisors (see below), whose sum is σ = 96917103360. Its totient is φ = 13855175712.

The previous prime is 42588338381. The next prime is 42588338399. The reversal of 42588338382 is 28383388524.

42588338382 is a `hidden beast` number, since 4 + 258 + 8 + 3 + 3 + 8 + 382 = 666.

It is a super-2 number, since 2×42588338382² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42588338381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3307068 + ... + 3319920.

It is an arithmetic number, because the mean of its divisors is an integer number (1514329740).

Almost surely, 2^42588338382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42588338382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48458551680).

42588338382 is an abundant number, since it is smaller than the sum of its proper divisors (54328764978).

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

42588338382 is a wasteful number, since it uses less digits than its factorization.

42588338382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14334 (or 14328 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 42588338382 in words is "forty-two billion, five hundred eighty-eight million, three hundred thirty-eight thousand, three hundred eighty-two".