42719321216 has 512 divisors, whose sum is σ = 113706270720. Its totient is φ = 15668674560.

The previous prime is 42719321167. The next prime is 42719321219. The reversal of 42719321216 is 61212391724.

Its product of digits (36288) is a multiple of the sum of its prime factors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 42719321216.

It is not an unprimeable number, because it can be changed into a prime (42719321219) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 336372545 + ... + 336372671.

It is an arithmetic number, because the mean of its divisors is an integer number (222082560).

Almost surely, 2^42719321216 is an apocalyptic number.

42719321216 is a gapful number since it is divisible by the number (46) 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 42719321216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56853135360).

42719321216 is an abundant number, since it is smaller than the sum of its proper divisors (70986949504).

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

42719321216 is a wasteful number, since it uses less digits than its factorization.

42719321216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The spelling of 42719321216 in words is "forty-two billion, seven hundred nineteen million, three hundred twenty-one thousand, two hundred sixteen".