42831227712 has 336 divisors, whose sum is σ = 142520042112. Its totient is φ = 11285084160.

The previous prime is 42831227683. The next prime is 42831227729. The reversal of 42831227712 is 21772213824.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 41949762 + ... + 41950782.

It is an arithmetic number, because the mean of its divisors is an integer number (424166792).

Almost surely, 2^42831227712 is an apocalyptic number.

42831227712 is a gapful number since it is divisible by the number (42) 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 42831227712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71260021056).

42831227712 is an abundant number, since it is smaller than the sum of its proper divisors (99688814400).

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

42831227712 is an equidigital number, since it uses as much as digits as its factorization.

42831227712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1046 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The spelling of 42831227712 in words is "forty-two billion, eight hundred thirty-one million, two hundred twenty-seven thousand, seven hundred twelve".