422037158400 has 2160 divisors, whose sum is σ = 1906829876952. Its totient is φ = 88237670400.

The previous prime is 422037158393. The next prime is 422037158441. The reversal of 422037158400 is 4851730224.

It is a happy number.

422037158400 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 3 + 71 + 584 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 25258109184 + 396779049216 = 158928^2 + 629904^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3080563132 + ... + 3080563268.

Almost surely, 2^422037158400 is an apocalyptic number.

422037158400 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 422037158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953414938476).

422037158400 is an abundant number, since it is smaller than the sum of its proper divisors (1484792718552).

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

422037158400 is a wasteful number, since it uses less digits than its factorization.

422037158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 422037158400 its reverse (4851730224), we get a palindrome (426888888624).

The spelling of 422037158400 in words is "four hundred twenty-two billion, thirty-seven million, one hundred fifty-eight thousand, four hundred".