127385276340 has 192 divisors, whose sum is σ = 419142366720. Its totient is φ = 28304640000.

The previous prime is 127385276281. The next prime is 127385276399. The reversal of 127385276340 is 43672583721.

It is an interprime number because it is at equal distance from previous prime (127385276281) and next prime (127385276399).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 127385276340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2400090 + ... + 2452590.

It is an arithmetic number, because the mean of its divisors is an integer number (2183033160).

Almost surely, 2^127385276340 is an apocalyptic number.

127385276340 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 127385276340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209571183360).

127385276340 is an abundant number, since it is smaller than the sum of its proper divisors (291757090380).

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

127385276340 is a wasteful number, since it uses less digits than its factorization.

127385276340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52682 (or 52680 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 127385276340 in words is "one hundred twenty-seven billion, three hundred eighty-five million, two hundred seventy-six thousand, three hundred forty".