42331114131600 has 720 divisors, whose sum is σ = 161308697868288. Its totient is φ = 9457298887680.

The previous prime is 42331114131577. The next prime is 42331114131619. The reversal of 42331114131600 is 613141113324.

42331114131600 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 (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2174943469 + ... + 2174962931.

Almost surely, 2^{42331114131600} is an apocalyptic number.

42331114131600 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 42331114131600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80654348934144).

42331114131600 is an abundant number, since it is smaller than the sum of its proper divisors (118977583736688).

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

42331114131600 is a wasteful number, since it uses less digits than its factorization.

42331114131600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20332 (or 20314 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 42331114131600 its reverse (613141113324), we get a palindrome (42944255244924).

The spelling of 42331114131600 in words is "forty-two trillion, three hundred thirty-one billion, one hundred fourteen million, one hundred thirty-one thousand, six hundred".