42284149092 has 162 divisors, whose sum is σ = 113100192114. Its totient is φ = 13831637760.

The previous prime is 42284149081. The next prime is 42284149093. The reversal of 42284149092 is 29094148224.

42284149092 is a `hidden beast` number, since 4 + 228 + 414 + 9 + 0 + 9 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7455631716 + 34828517376 = 86346^2 + 186624^2 .

It is a tau number, because it is divible by the number of its divisors (162).

It is not an unprimeable number, because it can be changed into a prime (42284149093) 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 53 ways as a sum of consecutive naturals, for example, 97653708 + ... + 97654140.

Almost surely, 2^42284149092 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 42284149092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56550096057).

42284149092 is an abundant number, since it is smaller than the sum of its proper divisors (70816043022).

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

42284149092 is an frugal number, since it uses more digits than its factorization.

42284149092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 42284149092 in words is "forty-two billion, two hundred eighty-four million, one hundred forty-nine thousand, ninety-two".