42188903680 has 576 divisors, whose sum is σ = 135290953728. Its totient is φ = 12213780480.

The previous prime is 42188903641. The next prime is 42188903683. The reversal of 42188903680 is 8630988124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42188903683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83874309 + ... + 83874811.

It is an arithmetic number, because the mean of its divisors is an integer number (234880128).

Almost surely, 2^42188903680 is an apocalyptic number.

42188903680 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 42188903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67645476864).

42188903680 is an abundant number, since it is smaller than the sum of its proper divisors (93102050048).

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

42188903680 is a wasteful number, since it uses less digits than its factorization.

42188903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

The spelling of 42188903680 in words is "forty-two billion, one hundred eighty-eight million, nine hundred three thousand, six hundred eighty".