42432225513216 has 648 divisors, whose sum is σ = 144733526340480. Its totient is φ = 10995733647360.

The previous prime is 42432225513169. The next prime is 42432225513229. The reversal of 42432225513216 is 61231552223424.

It is a super-3 number, since 3×42432225513216³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1998963595 + ... + 1998984821.

Almost surely, 2^{42432225513216} 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 42432225513216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72366763170240).

42432225513216 is an abundant number, since it is smaller than the sum of its proper divisors (102301300827264).

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

42432225513216 is a wasteful number, since it uses less digits than its factorization.

42432225513216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21721 (or 21689 counting only the distinct ones).

The product of its digits is 691200, while the sum is 42.

The spelling of 42432225513216 in words is "forty-two trillion, four hundred thirty-two billion, two hundred twenty-five million, five hundred thirteen thousand, two hundred sixteen".