42403014216 has 256 divisors, whose sum is σ = 124843680000. Its totient is φ = 13314502656.

The previous prime is 42403014193. The next prime is 42403014287. The reversal of 42403014216 is 61241030424.

It is a happy number.

42403014216 is a `hidden beast` number, since 42 + 403 + 0 + 1 + 4 + 216 = 666.

It is a super-2 number, since 2×42403014216² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 42403014216.

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 63 ways as a sum of consecutive naturals, for example, 111881115 + ... + 111881493.

It is an arithmetic number, because the mean of its divisors is an integer number (487670625).

Almost surely, 2^42403014216 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 42403014216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62421840000).

42403014216 is an abundant number, since it is smaller than the sum of its proper divisors (82440665784).

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

42403014216 is a wasteful number, since it uses less digits than its factorization.

42403014216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 42403014216 in words is "forty-two billion, four hundred three million, fourteen thousand, two hundred sixteen".