127354165002240 has 2432 divisors, whose sum is σ = 502355596640256. Its totient is φ = 27179089920000.

The previous prime is 127354165002187. The next prime is 127354165002241. The reversal of 127354165002240 is 42200561453721.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 127354165002192 and 127354165002201.

It is not an unprimeable number, because it can be changed into a prime (127354165002241) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 843405066165 + ... + 843405066315.

It is an arithmetic number, because the mean of its divisors is an integer number (206560689408).

Almost surely, 2^{127354165002240} is an apocalyptic number.

127354165002240 is a gapful number since it is divisible by the number (10) 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 127354165002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251177798320128).

127354165002240 is an abundant number, since it is smaller than the sum of its proper divisors (375001431638016).

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

127354165002240 is a wasteful number, since it uses less digits than its factorization.

127354165002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 127354165002240 in words is "one hundred twenty-seven trillion, three hundred fifty-four billion, one hundred sixty-five million, two thousand, two hundred forty".