201456702720 has 864 divisors, whose sum is σ = 895676221440. Its totient is φ = 42500505600.

The previous prime is 201456702683. The next prime is 201456702871. The reversal of 201456702720 is 27207654102.

It is a happy number.

201456702720 is a `hidden beast` number, since 20 + 1 + 4 + 567 + 0 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22010145 + ... + 22019295.

Almost surely, 2^201456702720 is an apocalyptic number.

201456702720 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 201456702720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447838110720).

201456702720 is an abundant number, since it is smaller than the sum of its proper divisors (694219518720).

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

201456702720 is a wasteful number, since it uses less digits than its factorization.

201456702720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9208 (or 9181 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 201456702720 in words is "two hundred one billion, four hundred fifty-six million, seven hundred two thousand, seven hundred twenty".