127513874040 has 768 divisors, whose sum is σ = 505284480000. Its totient is φ = 25512689664.

The previous prime is 127513874039. The next prime is 127513874041. The reversal of 127513874040 is 40478315721.

It is an interprime number because it is at equal distance from previous prime (127513874039) and next prime (127513874041).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 127513873983 and 127513874001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127513874041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 85065211 + ... + 85066709.

It is an arithmetic number, because the mean of its divisors is an integer number (657922500).

Almost surely, 2^127513874040 is an apocalyptic number.

127513874040 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 127513874040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252642240000).

127513874040 is an abundant number, since it is smaller than the sum of its proper divisors (377770605960).

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

127513874040 is a wasteful number, since it uses less digits than its factorization.

127513874040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 127513874040 in words is "one hundred twenty-seven billion, five hundred thirteen million, eight hundred seventy-four thousand, forty".