201254130786240 has 1344 divisors, whose sum is σ = 861082343546880. Its totient is φ = 42102374400000.

The previous prime is 201254130786239. The next prime is 201254130786329. The reversal of 201254130786240 is 42687031452102.

201254130786240 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 5 + 4 + 13 + 0 + 7 + 8 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7136404140 + ... + 7136432340.

It is an arithmetic number, because the mean of its divisors is an integer number (640686267520).

Almost surely, 2^{201254130786240} is an apocalyptic number.

201254130786240 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 201254130786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430541171773440).

201254130786240 is an abundant number, since it is smaller than the sum of its proper divisors (659828212760640).

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

201254130786240 is a wasteful number, since it uses less digits than its factorization.

201254130786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28882 (or 28869 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 201254130786240 in words is "two hundred one trillion, two hundred fifty-four billion, one hundred thirty million, seven hundred eighty-six thousand, two hundred forty".