127405210040 has 64 divisors (see below), whose sum is σ = 303767301600. Its totient is φ = 47925895168.

The previous prime is 127405210019. The next prime is 127405210081. The reversal of 127405210040 is 40012504721.

It is a junction number, because it is equal to n+sod(n) for n = 127405209991 and 127405210009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 781712 + ... + 930528.

Almost surely, 2^127405210040 is an apocalyptic number.

127405210040 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 127405210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151883650800).

127405210040 is an abundant number, since it is smaller than the sum of its proper divisors (176362091560).

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

127405210040 is a wasteful number, since it uses less digits than its factorization.

127405210040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150104 (or 150100 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

Adding to 127405210040 its reverse (40012504721), we get a palindrome (167417714761).

The spelling of 127405210040 in words is "one hundred twenty-seven billion, four hundred five million, two hundred ten thousand, forty".