127010438240 has 144 divisors (see below), whose sum is σ = 351566082000. Its totient is φ = 43232781312.

The previous prime is 127010438237. The next prime is 127010438299. The reversal of 127010438240 is 42834010721.

It is a super-2 number, since 2×127010438240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 127010438197 and 127010438206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1031486 + ... + 1148034.

It is an arithmetic number, because the mean of its divisors is an integer number (2441431125).

Almost surely, 2^127010438240 is an apocalyptic number.

127010438240 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 127010438240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175783041000).

127010438240 is an abundant number, since it is smaller than the sum of its proper divisors (224555643760).

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

127010438240 is a wasteful number, since it uses less digits than its factorization.

127010438240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116717 (or 116702 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

Adding to 127010438240 its reverse (42834010721), we get a palindrome (169844448961).

The spelling of 127010438240 in words is "one hundred twenty-seven billion, ten million, four hundred thirty-eight thousand, two hundred forty".