42027592631856 has 640 divisors, whose sum is σ = 124086073982976. Its totient is φ = 12168599224320.

The previous prime is 42027592631831. The next prime is 42027592631867. The reversal of 42027592631856 is 65813629572024.

42027592631856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42027592631856.

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 127 ways as a sum of consecutive naturals, for example, 50819337715 + ... + 50819338541.

It is a 1-persistent number, because it is pandigital, but 2⋅42027592631856 = 84055185263712 is not.

Almost surely, 2^{42027592631856} 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 42027592631856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62043036991488).

42027592631856 is an abundant number, since it is smaller than the sum of its proper divisors (82058481351120).

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

42027592631856 is a wasteful number, since it uses less digits than its factorization.

42027592631856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 42027592631856 in words is "forty-two trillion, twenty-seven billion, five hundred ninety-two million, six hundred thirty-one thousand, eight hundred fifty-six".