42000842000 has 160 divisors (see below), whose sum is σ = 110873424480. Its totient is φ = 15294873600.

The previous prime is 42000841979. The next prime is 42000842077. The reversal of 42000842000 is 24800024.

It can be written as a sum of positive squares in 16 ways, for example, as 24450951424 + 17549890576 = 156368^2 + 132476^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1886936 + ... + 1909064.

It is an arithmetic number, because the mean of its divisors is an integer number (692958903).

Almost surely, 2^42000842000 is an apocalyptic number.

42000842000 is a gapful number since it is divisible by the number (40) 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 42000842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55436712240).

42000842000 is an abundant number, since it is smaller than the sum of its proper divisors (68872582480).

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

42000842000 is a wasteful number, since it uses less digits than its factorization.

42000842000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22238 (or 22222 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The spelling of 42000842000 in words is "forty-two billion, eight hundred forty-two thousand".