42622357200 has 240 divisors, whose sum is σ = 141526239360. Its totient is φ = 10956072960.

The previous prime is 42622357189. The next prime is 42622357213. The reversal of 42622357200 is 275322624.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4835197 + ... + 4844003.

It is an arithmetic number, because the mean of its divisors is an integer number (589692664).

Almost surely, 2^42622357200 is an apocalyptic number.

42622357200 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 42622357200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70763119680).

42622357200 is an abundant number, since it is smaller than the sum of its proper divisors (98903882160).

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

42622357200 is a wasteful number, since it uses less digits than its factorization.

42622357200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8974 (or 8963 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

Adding to 42622357200 its reverse (275322624), we get a palindrome (42897679824).

The spelling of 42622357200 in words is "forty-two billion, six hundred twenty-two million, three hundred fifty-seven thousand, two hundred".