422259534400 has 168 divisors, whose sum is σ = 1172565843840. Its totient is φ = 148253952000.

The previous prime is 422259534379. The next prime is 422259534401. The reversal of 422259534400 is 4435952224.

It is a super-3 number, since 3×422259534400³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (422259534401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96745 + ... + 924055.

Almost surely, 2^422259534400 is an apocalyptic number.

422259534400 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 422259534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586282921920).

422259534400 is an abundant number, since it is smaller than the sum of its proper divisors (750306309440).

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

422259534400 is a wasteful number, since it uses less digits than its factorization.

422259534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827373 (or 827358 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

It can be divided in two parts, 422259 and 534400, that added together give a palindrome (956659).

The spelling of 422259534400 in words is "four hundred twenty-two billion, two hundred fifty-nine million, five hundred thirty-four thousand, four hundred".