42285031686144 has 680 divisors, whose sum is σ = 141970491069792. Its totient is φ = 12444625797120.

The previous prime is 42285031686137. The next prime is 42285031686199. The reversal of 42285031686144 is 44168613058224.

42285031686144 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 5 + 0 + 3 + 16 + 8 + 614 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1587203064 + ... + 1587229704.

Almost surely, 2^{42285031686144} 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 42285031686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70985245534896).

42285031686144 is an abundant number, since it is smaller than the sum of its proper divisors (99685459383648).

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

42285031686144 is an equidigital number, since it uses as much as digits as its factorization.

42285031686144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26721 (or 26682 counting only the distinct ones).

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

The spelling of 42285031686144 in words is "forty-two trillion, two hundred eighty-five billion, thirty-one million, six hundred eighty-six thousand, one hundred forty-four".