127724113440 has 1152 divisors, whose sum is σ = 597358540800. Its totient is φ = 25134520320.

The previous prime is 127724113423. The next prime is 127724113441. The reversal of 127724113440 is 44311427721.

127724113440 is a `hidden beast` number, since 1 + 2 + 77 + 241 + 1 + 344 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 127724113395 and 127724113404.

It is not an unprimeable number, because it can be changed into a prime (127724113441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44239677 + ... + 44242563.

It is an arithmetic number, because the mean of its divisors is an integer number (518540400).

Almost surely, 2^127724113440 is an apocalyptic number.

127724113440 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 127724113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298679270400).

127724113440 is an abundant number, since it is smaller than the sum of its proper divisors (469634427360).

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

127724113440 is a wasteful number, since it uses less digits than its factorization.

127724113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 127724113440 in words is "one hundred twenty-seven billion, seven hundred twenty-four million, one hundred thirteen thousand, four hundred forty".