42363585286176 has 1152 divisors, whose sum is σ = 148249673736192. Its totient is φ = 10461394944000.

The previous prime is 42363585286157. The next prime is 42363585286219. The reversal of 42363585286176 is 67168258536324.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38758997886 + ... + 38758998978.

It is an arithmetic number, because the mean of its divisors is an integer number (128688952896).

Almost surely, 2^{42363585286176} 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 42363585286176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74124836868096).

42363585286176 is an abundant number, since it is smaller than the sum of its proper divisors (105886088450016).

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

42363585286176 is a wasteful number, since it uses less digits than its factorization.

42363585286176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1551 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 66.

The spelling of 42363585286176 in words is "forty-two trillion, three hundred sixty-three billion, five hundred eighty-five million, two hundred eighty-six thousand, one hundred seventy-six".