42400688680 has 64 divisors (see below), whose sum is σ = 109249200000. Its totient is φ = 14508198144.

The previous prime is 42400688663. The next prime is 42400688689. The reversal of 42400688680 is 8688600424.

42400688680 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 42400688680.

It is not an unprimeable number, because it can be changed into a prime (42400688689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12015 + ... + 291454.

It is an arithmetic number, because the mean of its divisors is an integer number (1707018750).

Almost surely, 2^42400688680 is an apocalyptic number.

42400688680 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 42400688680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54624600000).

42400688680 is an abundant number, since it is smaller than the sum of its proper divisors (66848511320).

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

42400688680 is a wasteful number, since it uses less digits than its factorization.

42400688680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303986 (or 303982 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 46.

The spelling of 42400688680 in words is "forty-two billion, four hundred million, six hundred eighty-eight thousand, six hundred eighty".