127945162967040 has 1536 divisors, whose sum is σ = 481878004608000. Its totient is φ = 32137405267968.

The previous prime is 127945162966993. The next prime is 127945162967057. The reversal of 127945162967040 is 40769261549721.

127945162967040 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 4 + 516 + 2 + 9 + 6 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×127945162967040² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136547665452 + ... + 136547666388.

It is an arithmetic number, because the mean of its divisors is an integer number (313722659250).

Almost surely, 2^{127945162967040} is an apocalyptic number.

127945162967040 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 127945162967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240939002304000).

127945162967040 is an abundant number, since it is smaller than the sum of its proper divisors (353932841640960).

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

127945162967040 is a wasteful number, since it uses less digits than its factorization.

127945162967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 127945162967040 in words is "one hundred twenty-seven trillion, nine hundred forty-five billion, one hundred sixty-two million, nine hundred sixty-seven thousand, forty".