42017051140992 has 640 divisors, whose sum is σ = 131205629808000. Its totient is φ = 13329719230464.

The previous prime is 42017051140861. The next prime is 42017051140993. The reversal of 42017051140992 is 29904115071024.

42017051140992 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 7 + 0 + 511 + 40 + 9 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42017051140993) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20831457168 + ... + 20831459184.

It is an arithmetic number, because the mean of its divisors is an integer number (205008796575).

Almost surely, 2^{42017051140992} 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 42017051140992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65602814904000).

42017051140992 is an abundant number, since it is smaller than the sum of its proper divisors (89188578667008).

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

42017051140992 is a wasteful number, since it uses less digits than its factorization.

42017051140992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 42017051140992 in words is "forty-two trillion, seventeen billion, fifty-one million, one hundred forty thousand, nine hundred ninety-two".