42008274380160 has 448 divisors, whose sum is σ = 164258384178960. Its totient is φ = 10183822848000.

The previous prime is 42008274380143. The next prime is 42008274380213. The reversal of 42008274380160 is 6108347280024.

It is a happy number.

42008274380160 is a `hidden beast` number, since 4 + 200 + 8 + 2 + 7 + 4 + 380 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 55 ways as a sum of consecutive naturals, for example, 1039510 + ... + 9224810.

Almost surely, 2^{42008274380160} is an apocalyptic number.

42008274380160 is a gapful number since it is divisible by the number (40) 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 42008274380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82129192089480).

42008274380160 is an abundant number, since it is smaller than the sum of its proper divisors (122250109798800).

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

42008274380160 is an equidigital number, since it uses as much as digits as its factorization.

42008274380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8185349 (or 8185322 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 42008274380160 in words is "forty-two trillion, eight billion, two hundred seventy-four million, three hundred eighty thousand, one hundred sixty".