42471687684096 has 768 divisors, whose sum is σ = 141697155600000. Its totient is φ = 12136265809920.

The previous prime is 42471687684091. The next prime is 42471687684143. The reversal of 42471687684096 is 69048678617424.

42471687684096 is a `hidden beast` number, since 4 + 2 + 471 + 6 + 8 + 7 + 68 + 4 + 0 + 96 = 666.

42471687684096 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42471687684091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4045302655 + ... + 4045313153.

Almost surely, 2^{42471687684096} 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 42471687684096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70848577800000).

42471687684096 is an abundant number, since it is smaller than the sum of its proper divisors (99225467915904).

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

42471687684096 is a wasteful number, since it uses less digits than its factorization.

42471687684096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10618 (or 10587 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 42471687684096 in words is "forty-two trillion, four hundred seventy-one billion, six hundred eighty-seven million, six hundred eighty-four thousand, ninety-six".