42384786863328 has 576 divisors, whose sum is σ = 154930415411520. Its totient is φ = 11173863665664.

The previous prime is 42384786863327. The next prime is 42384786863329. The reversal of 42384786863328 is 82336868748324.

42384786863328 is a `hidden beast` number, since 4 + 2 + 3 + 8 + 478 + 68 + 63 + 32 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (42384786863327) and next prime (42384786863329).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42384786863327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1482126726 + ... + 1482155322.

It is an arithmetic number, because the mean of its divisors is an integer number (268976415645).

Almost surely, 2^{42384786863328} is an apocalyptic number.

42384786863328 is a gapful number since it is divisible by the number (48) 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 42384786863328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77465207705760).

42384786863328 is an abundant number, since it is smaller than the sum of its proper divisors (112545628548192).

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

42384786863328 is a wasteful number, since it uses less digits than its factorization.

42384786863328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31336 (or 31315 counting only the distinct ones).

The product of its digits is 1783627776, while the sum is 72.

The spelling of 42384786863328 in words is "forty-two trillion, three hundred eighty-four billion, seven hundred eighty-six million, eight hundred sixty-three thousand, three hundred twenty-eight".