422201154542400 has 504 divisors, whose sum is σ = 1523173308418944. Its totient is φ = 110896534425600.

The previous prime is 422201154542359. The next prime is 422201154542407. The reversal of 422201154542400 is 4245451102224.

422201154542400 is a `hidden beast` number, since 4 + 2 + 2 + 20 + 1 + 1 + 54 + 542 + 40 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422201154542407) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1086616962 + ... + 1087005438.

It is an arithmetic number, because the mean of its divisors is an integer number (3022169262736).

Almost surely, 2^{422201154542400} is an apocalyptic number.

422201154542400 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 422201154542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761586654209472).

422201154542400 is an abundant number, since it is smaller than the sum of its proper divisors (1100972153876544).

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

422201154542400 is a wasteful number, since it uses less digits than its factorization.

422201154542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389639 (or 389621 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 422201154542400 in words is "four hundred twenty-two trillion, two hundred one billion, one hundred fifty-four million, five hundred forty-two thousand, four hundred".