42205185792 has 648 divisors, whose sum is σ = 160363082880. Its totient is φ = 10369658880.

The previous prime is 42205185761. The next prime is 42205185797. The reversal of 42205185792 is 29758150224.

42205185792 is a `hidden beast` number, since 4 + 2 + 20 + 51 + 8 + 579 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42205185797) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64043959 + ... + 64044617.

Almost surely, 2^42205185792 is an apocalyptic number.

42205185792 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 42205185792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80181541440).

42205185792 is an abundant number, since it is smaller than the sum of its proper divisors (118157897088).

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

42205185792 is a wasteful number, since it uses less digits than its factorization.

42205185792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 42205185792 in words is "forty-two billion, two hundred five million, one hundred eighty-five thousand, seven hundred ninety-two".