42227522640600 has 768 divisors, whose sum is σ = 149222824128000. Its totient is φ = 9787435008000.

The previous prime is 42227522640599. The next prime is 42227522640613. The reversal of 42227522640600 is 604622572224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24366717334 + ... + 24366719066.

It is an arithmetic number, because the mean of its divisors is an integer number (194300552250).

Almost surely, 2^{42227522640600} is an apocalyptic number.

42227522640600 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 42227522640600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74611412064000).

42227522640600 is an abundant number, since it is smaller than the sum of its proper divisors (106995301487400).

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

42227522640600 is a wasteful number, since it uses less digits than its factorization.

42227522640600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 42227522640600 in words is "forty-two trillion, two hundred twenty-seven billion, five hundred twenty-two million, six hundred forty thousand, six hundred".