42524962842384 has 360 divisors, whose sum is σ = 136251247903680. Its totient is φ = 12830047591680.

The previous prime is 42524962842379. The next prime is 42524962842419. The reversal of 42524962842384 is 48324826942524.

42524962842384 is a `hidden beast` number, since 4 + 2 + 5 + 2 + 496 + 28 + 42 + 3 + 84 = 666.

42524962842384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42524962842384² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 107535229 + ... + 107929955.

Almost surely, 2^{42524962842384} is an apocalyptic number.

42524962842384 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 42524962842384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68125623951840).

42524962842384 is an abundant number, since it is smaller than the sum of its proper divisors (93726285061296).

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

42524962842384 is a wasteful number, since it uses less digits than its factorization.

42524962842384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395001 (or 394972 counting only the distinct ones).

The product of its digits is 212336640, while the sum is 63.

The spelling of 42524962842384 in words is "forty-two trillion, five hundred twenty-four billion, nine hundred sixty-two million, eight hundred forty-two thousand, three hundred eighty-four".