42350716512000 has 1728 divisors, whose sum is σ = 174166598301696. Its totient is φ = 10181309644800.

The previous prime is 42350716511993. The next prime is 42350716512017. The reversal of 42350716512000 is 21561705324.

42350716512000 is a `hidden beast` number, since 4 + 23 + 50 + 71 + 6 + 512 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×42350716512000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4346779129 + ... + 4346788871.

Almost surely, 2^{42350716512000} is an apocalyptic number.

42350716512000 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 42350716512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87083299150848).

42350716512000 is an abundant number, since it is smaller than the sum of its proper divisors (131815881789696).

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

42350716512000 is an equidigital number, since it uses as much as digits as its factorization.

42350716512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9845 (or 9809 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 42350716512000 in words is "forty-two trillion, three hundred fifty billion, seven hundred sixteen million, five hundred twelve thousand".