42421826345616 has 135 divisors (see below), whose sum is σ = 120535494064713. Its totient is φ = 13927835433600.

The previous prime is 42421826345611. The next prime is 42421826345621. The reversal of 42421826345616 is 61654362812424.

The square root of 42421826345616 is 6513204.

It is a perfect power (a square), and thus also a powerful number.

42421826345616 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 18 + 2 + 6 + 3 + 4 + 5 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (42421826345611) and next prime (42421826345621).

It can be written as a sum of positive squares in only one way, i.e., 42400882467216 + 20943878400 = 6511596^2 + 144720^2 .

It is a super-2 number, since 2×42421826345616² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42421826345611) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5236611966 + ... + 5236620066.

Almost surely, 2^{42421826345616} is an apocalyptic number.

42421826345616 is the 6513204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42421826345616

42421826345616 is an abundant number, since it is smaller than the sum of its proper divisors (78113667719097).

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

42421826345616 is an frugal number, since it uses more digits than its factorization.

42421826345616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16350 (or 8173 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 42421826345616 in words is "forty-two trillion, four hundred twenty-one billion, eight hundred twenty-six million, three hundred forty-five thousand, six hundred sixteen".