127913240448 has 384 divisors, whose sum is σ = 443444951040. Its totient is φ = 35943782400.

The previous prime is 127913240431. The next prime is 127913240449. The reversal of 127913240448 is 844042319721.

127913240448 is a `hidden beast` number, since 1 + 2 + 79 + 132 + 4 + 0 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127913240449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13276593 + ... + 13286223.

It is an arithmetic number, because the mean of its divisors is an integer number (1154804560).

Almost surely, 2^127913240448 is an apocalyptic number.

127913240448 is a gapful number since it is divisible by the number (18) 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 127913240448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221722475520).

127913240448 is an abundant number, since it is smaller than the sum of its proper divisors (315531710592).

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

127913240448 is an frugal number, since it uses more digits than its factorization.

127913240448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9728 (or 9704 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 127913240448 in words is "one hundred twenty-seven billion, nine hundred thirteen million, two hundred forty thousand, four hundred forty-eight".