42302919840192 has 280 divisors, whose sum is σ = 137638313569152. Its totient is φ = 12740419238400.

The previous prime is 42302919840161. The next prime is 42302919840217. The reversal of 42302919840192 is 29104891920324.

It is a happy number.

42302919840192 is a `hidden beast` number, since 4 + 23 + 0 + 29 + 198 + 401 + 9 + 2 = 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 (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7019317 + ... + 11570507.

Almost surely, 2^{42302919840192} 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 42302919840192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68819156784576).

42302919840192 is an abundant number, since it is smaller than the sum of its proper divisors (95335393728960).

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

42302919840192 is a wasteful number, since it uses less digits than its factorization.

42302919840192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551389 (or 4551370 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 42302919840192 in words is "forty-two trillion, three hundred two billion, nine hundred nineteen million, eight hundred forty thousand, one hundred ninety-two".