42041637792 has 864 divisors, whose sum is σ = 162767102400. Its totient is φ = 10506101760.

The previous prime is 42041637779. The next prime is 42041637793. The reversal of 42041637792 is 29773614024.

42041637792 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 1 + 637 + 7 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (42041637793) 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 143 ways as a sum of consecutive naturals, for example, 148556883 + ... + 148557165.

It is an arithmetic number, because the mean of its divisors is an integer number (188387850).

Almost surely, 2^42041637792 is an apocalyptic number.

42041637792 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 42041637792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81383551200).

42041637792 is an abundant number, since it is smaller than the sum of its proper divisors (120725464608).

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

42041637792 is a wasteful number, since it uses less digits than its factorization.

42041637792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 42041637792 in words is "forty-two billion, forty-one million, six hundred thirty-seven thousand, seven hundred ninety-two".