127679711040 has 336 divisors, whose sum is σ = 503299610112. Its totient is φ = 29102727168.

The previous prime is 127679711039. The next prime is 127679711083. The reversal of 127679711040 is 40117976721.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×127679711040² (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 a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7390092 + ... + 7407348.

Almost surely, 2^127679711040 is an apocalyptic number.

127679711040 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 127679711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251649805056).

127679711040 is an abundant number, since it is smaller than the sum of its proper divisors (375619899072).

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

127679711040 is a wasteful number, since it uses less digits than its factorization.

127679711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17654 (or 17641 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 127679711040 in words is "one hundred twenty-seven billion, six hundred seventy-nine million, seven hundred eleven thousand, forty".