201336422400 has 324 divisors, whose sum is σ = 721334698812. Its totient is φ = 53681848320.

The previous prime is 201336422381. The next prime is 201336422423. The reversal of 201336422400 is 4224633102.

201336422400 is a `hidden beast` number, since 2 + 0 + 13 + 3 + 642 + 2 + 4 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29487787 + ... + 29494613.

It is an arithmetic number, because the mean of its divisors is an integer number (2226341663).

Almost surely, 2^201336422400 is an apocalyptic number.

201336422400 is a gapful number since it is divisible by the number (20) 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 201336422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360667349406).

201336422400 is an abundant number, since it is smaller than the sum of its proper divisors (519998276412).

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

201336422400 is an frugal number, since it uses more digits than its factorization.

201336422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6877 (or 6837 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 201336422400 in words is "two hundred one billion, three hundred thirty-six million, four hundred twenty-two thousand, four hundred".