42926257680 has 160 divisors (see below), whose sum is σ = 140624035200. Its totient is φ = 10802036736.

The previous prime is 42926257669. The next prime is 42926257681. The reversal of 42926257680 is 8675262924.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42926257681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1153606 + ... + 1190234.

It is an arithmetic number, because the mean of its divisors is an integer number (878900220).

Almost surely, 2^42926257680 is an apocalyptic number.

42926257680 is a gapful number since it is divisible by the number (40) 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 42926257680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70312017600).

42926257680 is an abundant number, since it is smaller than the sum of its proper divisors (97697777520).

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

42926257680 is a wasteful number, since it uses less digits than its factorization.

42926257680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36921 (or 36915 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 42926257680 in words is "forty-two billion, nine hundred twenty-six million, two hundred fifty-seven thousand, six hundred eighty".