42722744064000 has 4608 divisors, whose sum is σ = 206129899422720. Its totient is φ = 7696023552000.

The previous prime is 42722744063981. The next prime is 42722744064043. The reversal of 42722744064000 is 46044722724.

42722744064000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 91483391767 + ... + 91483392233.

It is an arithmetic number, because the mean of its divisors is an integer number (44733051090).

Almost surely, 2^{42722744064000} is an apocalyptic number.

42722744064000 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 42722744064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103064949711360).

42722744064000 is an abundant number, since it is smaller than the sum of its proper divisors (163407155358720).

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

42722744064000 is a wasteful number, since it uses less digits than its factorization.

42722744064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 42.

Adding to 42722744064000 its reverse (46044722724), we get a palindrome (42768788786724).

The spelling of 42722744064000 in words is "forty-two trillion, seven hundred twenty-two billion, seven hundred forty-four million, sixty-four thousand".