127069109207040 has 1440 divisors, whose sum is σ = 548949675972096. Its totient is φ = 24372282654720.

The previous prime is 127069109206973. The next prime is 127069109207071. The reversal of 127069109207040 is 40702901960721.

It is a super-2 number, since 2×127069109207040² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3198055014 + ... + 3198094746.

Almost surely, 2^{127069109207040} is an apocalyptic number.

127069109207040 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 127069109207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274474837986048).

127069109207040 is an abundant number, since it is smaller than the sum of its proper divisors (421880566765056).

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

127069109207040 is a wasteful number, since it uses less digits than its factorization.

127069109207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39813 (or 39774 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 127069109207040 in words is "one hundred twenty-seven trillion, sixty-nine billion, one hundred nine million, two hundred seven thousand, forty".