42073722000 has 640 divisors, whose sum is σ = 158636275200. Its totient is φ = 10644480000.

The previous prime is 42073721969. The next prime is 42073722007. The reversal of 42073722000 is 22737024.

42073722000 is a `hidden beast` number, since 420 + 7 + 37 + 2 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42073722007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104921800 + ... + 104922200.

It is an arithmetic number, because the mean of its divisors is an integer number (247869180).

Almost surely, 2^42073722000 is an apocalyptic number.

42073722000 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 42073722000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79318137600).

42073722000 is an abundant number, since it is smaller than the sum of its proper divisors (116562553200).

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

42073722000 is a wasteful number, since it uses less digits than its factorization.

42073722000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The spelling of 42073722000 in words is "forty-two billion, seventy-three million, seven hundred twenty-two thousand".