422531015210400 has 576 divisors, whose sum is σ = 1445074505312256. Its totient is φ = 107031310848000.

The previous prime is 422531015210263. The next prime is 422531015210443. The reversal of 422531015210400 is 4012510135224.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7263573315 + ... + 7263631485.

It is an arithmetic number, because the mean of its divisors is an integer number (2508809905056).

Almost surely, 2^{422531015210400} is an apocalyptic number.

422531015210400 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 422531015210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722537252656128).

422531015210400 is an abundant number, since it is smaller than the sum of its proper divisors (1022543490101856).

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

422531015210400 is a wasteful number, since it uses less digits than its factorization.

422531015210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59125 (or 59112 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 422531015210400 its reverse (4012510135224), we get a palindrome (426543525345624).

The spelling of 422531015210400 in words is "four hundred twenty-two trillion, five hundred thirty-one billion, fifteen million, two hundred ten thousand, four hundred".