201281162725440 has 1568 divisors, whose sum is σ = 849207017481984. Its totient is φ = 44463929425920.

The previous prime is 201281162725429. The next prime is 201281162725661. The reversal of 201281162725440 is 44527261182102.

201281162725440 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 8 + 11 + 627 + 2 + 5 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 223 ways as a sum of consecutive naturals, for example, 7163781472 + ... + 7163809568.

It is an arithmetic number, because the mean of its divisors is an integer number (541586108088).

Almost surely, 2^{201281162725440} is an apocalyptic number.

201281162725440 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 201281162725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424603508740992).

201281162725440 is an abundant number, since it is smaller than the sum of its proper divisors (647925854756544).

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

201281162725440 is a wasteful number, since it uses less digits than its factorization.

201281162725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28287 (or 28262 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 201281162725440 in words is "two hundred one trillion, two hundred eighty-one billion, one hundred sixty-two million, seven hundred twenty-five thousand, four hundred forty".