42292426176 has 336 divisors, whose sum is σ = 162763980288. Its totient is φ = 10139904000.

The previous prime is 42292426171. The next prime is 42292426177. The reversal of 42292426176 is 67162429224.

42292426176 is a `hidden beast` number, since 4 + 2 + 2 + 9 + 24 + 2 + 617 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42292426171) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 539901 + ... + 613251.

It is an arithmetic number, because the mean of its divisors is an integer number (484416608).

Almost surely, 2^42292426176 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 42292426176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81381990144).

42292426176 is an abundant number, since it is smaller than the sum of its proper divisors (120471554112).

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

42292426176 is a wasteful number, since it uses less digits than its factorization.

42292426176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73400 (or 73387 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 42292426176 in words is "forty-two billion, two hundred ninety-two million, four hundred twenty-six thousand, one hundred seventy-six".