42161791285152 has 1920 divisors, whose sum is σ = 168439954636800. Its totient is φ = 10020166041600.

The previous prime is 42161791284983. The next prime is 42161791285259. The reversal of 42161791285152 is 25158219716124.

42161791285152 is a `hidden beast` number, since 4 + 2 + 1 + 6 + 17 + 91 + 28 + 515 + 2 = 666.

42161791285152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12665000224 + ... + 12665003552.

It is an arithmetic number, because the mean of its divisors is an integer number (87729143040).

Almost surely, 2^{42161791285152} is an apocalyptic number.

42161791285152 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 42161791285152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84219977318400).

42161791285152 is an abundant number, since it is smaller than the sum of its proper divisors (126278163351648).

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

42161791285152 is a wasteful number, since it uses less digits than its factorization.

42161791285152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 3495 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The spelling of 42161791285152 in words is "forty-two trillion, one hundred sixty-one billion, seven hundred ninety-one million, two hundred eighty-five thousand, one hundred fifty-two".