42026862024 has 96 divisors (see below), whose sum is σ = 130193331840. Its totient is φ = 11997504000.

The previous prime is 42026862013. The next prime is 42026862041.

42026862024 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 6 + 8 + 620 + 24 = 666.

42026862024 is nontrivially palindromic in base 10.

42026862024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42026862024.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570589 + ... + 640019.

It is an arithmetic number, because the mean of its divisors is an integer number (1356180540).

Almost surely, 2^42026862024 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 42026862024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65096665920).

42026862024 is an abundant number, since it is smaller than the sum of its proper divisors (88166469816).

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

42026862024 is a wasteful number, since it uses less digits than its factorization.

42026862024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70651 (or 70644 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 42026862024 in words is "forty-two billion, twenty-six million, eight hundred sixty-two thousand, twenty-four".