422354118400 has 324 divisors, whose sum is σ = 1106015705256. Its totient is φ = 159589785600.

The previous prime is 422354118391. The next prime is 422354118421. The reversal of 422354118400 is 4811453224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 264466402 + ... + 264467998.

Almost surely, 2^422354118400 is an apocalyptic number.

422354118400 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 422354118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553007852628).

422354118400 is an abundant number, since it is smaller than the sum of its proper divisors (683661586856).

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

422354118400 is a wasteful number, since it uses less digits than its factorization.

422354118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 422354118400 in words is "four hundred twenty-two billion, three hundred fifty-four million, one hundred eighteen thousand, four hundred".