127066467400 has 24 divisors (see below), whose sum is σ = 295429537170. Its totient is φ = 50826586880.

The previous prime is 127066467389. The next prime is 127066467403. The reversal of 127066467400 is 4764660721.

127066467400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 100535921476 + 26530545924 = 317074^2 + 162882^2 .

It is a super-2 number, since 2×127066467400² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127066467403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 317665969 + ... + 317666368.

Almost surely, 2^127066467400 is an apocalyptic number.

127066467400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127066467400 is an abundant number, since it is smaller than the sum of its proper divisors (168363069770).

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

127066467400 is a wasteful number, since it uses less digits than its factorization.

127066467400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635332353 (or 635332344 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 43.

The spelling of 127066467400 in words is "one hundred twenty-seven billion, sixty-six million, four hundred sixty-seven thousand, four hundred".