201804224640 has 256 divisors, whose sum is σ = 658400762880. Its totient is φ = 52556414976.

The previous prime is 201804224627. The next prime is 201804224653. The reversal of 201804224640 is 46422408102.

It is an interprime number because it is at equal distance from previous prime (201804224627) and next prime (201804224653).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22688034 + ... + 22696926.

It is an arithmetic number, because the mean of its divisors is an integer number (2571877980).

Almost surely, 2^201804224640 is an apocalyptic number.

201804224640 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 201804224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329200381440).

201804224640 is an abundant number, since it is smaller than the sum of its proper divisors (456596538240).

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

201804224640 is a wasteful number, since it uses less digits than its factorization.

201804224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9191 (or 9179 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 201804224640 in words is "two hundred one billion, eight hundred four million, two hundred twenty-four thousand, six hundred forty".