42189869129472 has 576 divisors, whose sum is σ = 138371874600960. Its totient is φ = 12612206002176.

The previous prime is 42189869129413. The next prime is 42189869129479. The reversal of 42189869129472 is 27492196898124.

42189869129472 is a `hidden beast` number, since 4 + 2 + 1 + 8 + 98 + 69 + 1 + 2 + 9 + 472 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 42189869129472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42189869129479) 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, 710752018 + ... + 710811374.

It is an arithmetic number, because the mean of its divisors is an integer number (240228948960).

Almost surely, 2^{42189869129472} 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 42189869129472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69185937300480).

42189869129472 is an abundant number, since it is smaller than the sum of its proper divisors (96182005471488).

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

42189869129472 is a wasteful number, since it uses less digits than its factorization.

42189869129472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59685 (or 59665 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 72.

The spelling of 42189869129472 in words is "forty-two trillion, one hundred eighty-nine billion, eight hundred sixty-nine million, one hundred twenty-nine thousand, four hundred seventy-two".