422203205852400 has 960 divisors, whose sum is σ = 1649331116623872. Its totient is φ = 90120307998720.

The previous prime is 422203205852341. The next prime is 422203205852423. The reversal of 422203205852400 is 4258502302224.

It is a super-2 number, since 2×422203205852400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55501929397 + ... + 55501937003.

Almost surely, 2^{422203205852400} is an apocalyptic number.

422203205852400 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 422203205852400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824665558311936).

422203205852400 is an abundant number, since it is smaller than the sum of its proper divisors (1227127910771472).

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

422203205852400 is a wasteful number, since it uses less digits than its factorization.

422203205852400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10626 (or 10615 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 39.

The spelling of 422203205852400 in words is "four hundred twenty-two trillion, two hundred three billion, two hundred five million, eight hundred fifty-two thousand, four hundred".