42718784728320 has 576 divisors, whose sum is σ = 153240987594240. Its totient is φ = 11267919839232.

The previous prime is 42718784728261. The next prime is 42718784728363. The reversal of 42718784728320 is 2382748781724.

42718784728320 is a `hidden beast` number, since 4 + 2 + 7 + 1 + 87 + 8 + 472 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11823630834 + ... + 11823634446.

It is an arithmetic number, because the mean of its divisors is an integer number (266043381240).

Almost surely, 2^{42718784728320} is an apocalyptic number.

42718784728320 is a gapful number since it is divisible by the number (40) 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 42718784728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76620493797120).

42718784728320 is an abundant number, since it is smaller than the sum of its proper divisors (110522202865920).

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

42718784728320 is a wasteful number, since it uses less digits than its factorization.

42718784728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7267 (or 7247 counting only the distinct ones).

The product of its (nonzero) digits is 67436544, while the sum is 63.

The spelling of 42718784728320 in words is "forty-two trillion, seven hundred eighteen billion, seven hundred eighty-four million, seven hundred twenty-eight thousand, three hundred twenty".