127342737440 has 192 divisors, whose sum is σ = 315943649280. Its totient is φ = 48445931520.

The previous prime is 127342737421. The next prime is 127342737443. The reversal of 127342737440 is 44737243721.

It is a junction number, because it is equal to n+sod(n) for n = 127342737391 and 127342737400.

It is not an unprimeable number, because it can be changed into a prime (127342737443) 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 31 ways as a sum of consecutive naturals, for example, 71180066 + ... + 71181854.

It is an arithmetic number, because the mean of its divisors is an integer number (1645539840).

Almost surely, 2^127342737440 is an apocalyptic number.

127342737440 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 127342737440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157971824640).

127342737440 is an abundant number, since it is smaller than the sum of its proper divisors (188600911840).

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

127342737440 is a wasteful number, since it uses less digits than its factorization.

127342737440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 44.

The spelling of 127342737440 in words is "one hundred twenty-seven billion, three hundred forty-two million, seven hundred thirty-seven thousand, four hundred forty".