127193662240 has 48 divisors (see below), whose sum is σ = 300570238080. Its totient is φ = 50864730880.

The previous prime is 127193662231. The next prime is 127193662249. The reversal of 127193662240 is 42266391721.

It is an interprime number because it is at equal distance from previous prime (127193662231) and next prime (127193662249).

It is a super-3 number, since 3×127193662240³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (127193662249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 555195 + ... + 750085.

It is an arithmetic number, because the mean of its divisors is an integer number (6261879960).

Almost surely, 2^127193662240 is an apocalyptic number.

127193662240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127193662240 is an abundant number, since it is smaller than the sum of its proper divisors (173376575840).

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

127193662240 is a wasteful number, since it uses less digits than its factorization.

127193662240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198985 (or 198977 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 127193662240 in words is "one hundred twenty-seven billion, one hundred ninety-three million, six hundred sixty-two thousand, two hundred forty".