42713321201424 has 210 divisors, whose sum is σ = 125592002139630. Its totient is φ = 14066207829504.

The previous prime is 42713321201401. The next prime is 42713321201501. The reversal of 42713321201424 is 42410212331724.

42713321201424 is a `hidden beast` number, since 4 + 2 + 7 + 1 + 3 + 3 + 21 + 201 + 424 = 666.

42713321201424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 37155364070400 + 5557957131024 = 6095520^2 + 2357532^2 .

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

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 41 ways as a sum of consecutive naturals, for example, 80087512 + ... + 80619080.

Almost surely, 2^{42713321201424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42713321201424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62796001069815).

42713321201424 is an abundant number, since it is smaller than the sum of its proper divisors (82878680938206).

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

42713321201424 is an frugal number, since it uses more digits than its factorization.

42713321201424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531761 (or 531657 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 42713321201424 in words is "forty-two trillion, seven hundred thirteen billion, three hundred twenty-one million, two hundred one thousand, four hundred twenty-four".