42713103616000 has 192 divisors, whose sum is σ = 107641249213680. Its totient is φ = 16916070400000.

The previous prime is 42713103615983. The next prime is 42713103616003. The reversal of 42713103616000 is 61630131724.

It can be written as a sum of positive squares in 8 ways, for example, as 13021589799936 + 29691513816064 = 3608544^2 + 5448992^2 .

It is a super-4 number, since 4×42713103616000⁴ (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (42713103616003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25030020 + ... + 26681980.

Almost surely, 2^{42713103616000} is an apocalyptic number.

42713103616000 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 42713103616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53820624606840).

42713103616000 is an abundant number, since it is smaller than the sum of its proper divisors (64928145597680).

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

42713103616000 is a wasteful number, since it uses less digits than its factorization.

42713103616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652099 (or 1652069 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

Adding to 42713103616000 its reverse (61630131724), we get a palindrome (42774733747724).

The spelling of 42713103616000 in words is "forty-two trillion, seven hundred thirteen billion, one hundred three million, six hundred sixteen thousand".