42386102720 has 224 divisors, whose sum is σ = 115827340608. Its totient is φ = 14635302912.

The previous prime is 42386102701. The next prime is 42386102741. The reversal of 42386102720 is 2720168324.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11525522 + ... + 11529198.

It is an arithmetic number, because the mean of its divisors is an integer number (517086342).

Almost surely, 2^42386102720 is an apocalyptic number.

42386102720 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 42386102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57913670304).

42386102720 is an abundant number, since it is smaller than the sum of its proper divisors (73441237888).

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

42386102720 is a wasteful number, since it uses less digits than its factorization.

42386102720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 42386102720 in words is "forty-two billion, three hundred eighty-six million, one hundred two thousand, seven hundred twenty".