42277329792 has 192 divisors, whose sum is σ = 127310002560. Its totient is φ = 13450199040.

The previous prime is 42277329791. The next prime is 42277329803. The reversal of 42277329792 is 29792377224.

42277329792 is a `hidden beast` number, since 4 + 227 + 7 + 329 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×42277329792² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42277329791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2598868 + ... + 2615084.

It is an arithmetic number, because the mean of its divisors is an integer number (663072930).

Almost surely, 2^42277329792 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 42277329792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63655001280).

42277329792 is an abundant number, since it is smaller than the sum of its proper divisors (85032672768).

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

42277329792 is a wasteful number, since it uses less digits than its factorization.

42277329792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16341 (or 16326 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The spelling of 42277329792 in words is "forty-two billion, two hundred seventy-seven million, three hundred twenty-nine thousand, seven hundred ninety-two".