127368473379840 has 3520 divisors, whose sum is σ = 587069645488128. Its totient is φ = 25639649280000.

The previous prime is 127368473379811. The next prime is 127368473379869. The reversal of 127368473379840 is 48973374863721.

127368473379840 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 6 + 8 + 473 + 3 + 79 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (127368473379811) and next prime (127368473379869).

It is a tau number, because it is divible by the number of its divisors (3520).

It is a super-2 number, since 2×127368473379840² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 169598499465 + ... + 169598500215.

Almost surely, 2^{127368473379840} is an apocalyptic number.

127368473379840 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 127368473379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293534822744064).

127368473379840 is an abundant number, since it is smaller than the sum of its proper divisors (459701172108288).

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

127368473379840 is a wasteful number, since it uses less digits than its factorization.

127368473379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 72.

The spelling of 127368473379840 in words is "one hundred twenty-seven trillion, three hundred sixty-eight billion, four hundred seventy-three million, three hundred seventy-nine thousand, eight hundred forty".