201430644480 has 1440 divisors, whose sum is σ = 841396248000. Its totient is φ = 45567442944.

The previous prime is 201430644469. The next prime is 201430644491. The reversal of 201430644480 is 84446034102.

201430644480 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 3 + 0 + 644 + 4 + 8 + 0 = 666.

201430644480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201430644469) and next prime (201430644491).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1351883446 + ... + 1351883594.

It is an arithmetic number, because the mean of its divisors is an integer number (584302950).

Almost surely, 2^201430644480 is an apocalyptic number.

201430644480 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 201430644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420698124000).

201430644480 is an abundant number, since it is smaller than the sum of its proper divisors (639965603520).

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

201430644480 is a wasteful number, since it uses less digits than its factorization.

201430644480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 201430644480 its reverse (84446034102), we get a palindrome (285876678582).

The spelling of 201430644480 in words is "two hundred one billion, four hundred thirty million, six hundred forty-four thousand, four hundred eighty".