127981338240 has 256 divisors, whose sum is σ = 466987530240. Its totient is φ = 29204582400.

The previous prime is 127981338239. The next prime is 127981338283. The reversal of 127981338240 is 42833189721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 127981338240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8473095 + ... + 8488185.

It is an arithmetic number, because the mean of its divisors is an integer number (1824170040).

Almost surely, 2^127981338240 is an apocalyptic number.

127981338240 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 127981338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233493765120).

127981338240 is an abundant number, since it is smaller than the sum of its proper divisors (339006192000).

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

127981338240 is a wasteful number, since it uses less digits than its factorization.

127981338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15751 (or 15739 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 127981338240 in words is "one hundred twenty-seven billion, nine hundred eighty-one million, three hundred thirty-eight thousand, two hundred forty".