42191753688 has 384 divisors, whose sum is σ = 144139806720. Its totient is φ = 11287019520.

The previous prime is 42191753627. The next prime is 42191753741. The reversal of 42191753688 is 88635719124.

42191753688 is a `hidden beast` number, since 4 + 2 + 19 + 17 + 536 + 88 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 62691720 + ... + 62692392.

It is an arithmetic number, because the mean of its divisors is an integer number (375364080).

Almost surely, 2^42191753688 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 42191753688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72069903360).

42191753688 is an abundant number, since it is smaller than the sum of its proper divisors (101948053032).

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

42191753688 is a wasteful number, since it uses less digits than its factorization.

42191753688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 973 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 42191753688 in words is "forty-two billion, one hundred ninety-one million, seven hundred fifty-three thousand, six hundred eighty-eight".