422101555200 has 864 divisors, whose sum is σ = 1681231144320. Its totient is φ = 100506009600.

The previous prime is 422101555193. The next prime is 422101555207. The reversal of 422101555200 is 2555101224.

422101555200 is a `hidden beast` number, since 4 + 2 + 2 + 101 + 5 + 552 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (422101555193) and next prime (422101555207).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422101555207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 185701264 + ... + 185703536.

It is an arithmetic number, because the mean of its divisors is an integer number (1945869380).

Almost surely, 2^422101555200 is an apocalyptic number.

422101555200 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 422101555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840615572160).

422101555200 is an abundant number, since it is smaller than the sum of its proper divisors (1259129589120).

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

422101555200 is a wasteful number, since it uses less digits than its factorization.

422101555200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 422101555200 its reverse (2555101224), we get a palindrome (424656656424).

The spelling of 422101555200 in words is "four hundred twenty-two billion, one hundred one million, five hundred fifty-five thousand, two hundred".