127706509440 has 128 divisors (see below), whose sum is σ = 452293948800. Its totient is φ = 34055064576.

The previous prime is 127706509439. The next prime is 127706509529. The reversal of 127706509440 is 44905607721.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×127706509440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3677932 + ... + 3712491.

It is an arithmetic number, because the mean of its divisors is an integer number (3533546475).

Almost surely, 2^127706509440 is an apocalyptic number.

127706509440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127706509440 is an abundant number, since it is smaller than the sum of its proper divisors (324587439360).

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

127706509440 is an equidigital number, since it uses as much as digits as its factorization.

127706509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7390451 (or 7390433 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 127706509440 in words is "one hundred twenty-seven billion, seven hundred six million, five hundred nine thousand, four hundred forty".