127305657840 has 40 divisors (see below), whose sum is σ = 394647540048. Its totient is φ = 33948175360.

The previous prime is 127305657811. The next prime is 127305657901. The reversal of 127305657840 is 48756503721.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 127305657840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265219881 + ... + 265220360.

Almost surely, 2^127305657840 is an apocalyptic number.

127305657840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127305657840 is an abundant number, since it is smaller than the sum of its proper divisors (267341882208).

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

127305657840 is a wasteful number, since it uses less digits than its factorization.

127305657840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530440257 (or 530440251 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

It can be divided in two parts, 1273056 and 57840, that added together give a triangular number (1330896 = T₁₆₃₁).

The spelling of 127305657840 in words is "one hundred twenty-seven billion, three hundred five million, six hundred fifty-seven thousand, eight hundred forty".