42471713636352 has 4608 divisors, whose sum is σ = 189000507340800. Its totient is φ = 9274864435200.

The previous prime is 42471713636309. The next prime is 42471713636389. The reversal of 42471713636352 is 25363631717424.

42471713636352 is a `hidden beast` number, since 4 + 2 + 4 + 7 + 171 + 363 + 63 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-3 number, since 3×42471713636352³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (15240960) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 1370055278577 + ... + 1370055278607.

It is an arithmetic number, because the mean of its divisors is an integer number (41015735100).

Almost surely, 2^{42471713636352} is an apocalyptic number.

42471713636352 is a gapful number since it is divisible by the number (42) 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 42471713636352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94500253670400).

42471713636352 is an abundant number, since it is smaller than the sum of its proper divisors (146528793704448).

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

42471713636352 is a wasteful number, since it uses less digits than its factorization.

42471713636352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 84 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 54.

The spelling of 42471713636352 in words is "forty-two trillion, four hundred seventy-one billion, seven hundred thirteen million, six hundred thirty-six thousand, three hundred fifty-two".