422544230442400 has 288 divisors, whose sum is σ = 1191605148639360. Its totient is φ = 144602148864000.

The previous prime is 422544230442391. The next prime is 422544230442431. The reversal of 422544230442400 is 4244032445224.

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

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, 1920903621 + ... + 1921123579.

It is an arithmetic number, because the mean of its divisors is an integer number (4137517877220).

Almost surely, 2^{422544230442400} is an apocalyptic number.

422544230442400 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 422544230442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595802574319680).

422544230442400 is an abundant number, since it is smaller than the sum of its proper divisors (769060918196960).

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

422544230442400 is a wasteful number, since it uses less digits than its factorization.

422544230442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232848 (or 232835 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 40.

Adding to 422544230442400 its reverse (4244032445224), we get a palindrome (426788262887624).

The spelling of 422544230442400 in words is "four hundred twenty-two trillion, five hundred forty-four billion, two hundred thirty million, four hundred forty-two thousand, four hundred".