127913000040 has 960 divisors, whose sum is σ = 549671443200. Its totient is φ = 26040766464.

The previous prime is 127912999933. The next prime is 127913000051. The reversal of 127913000040 is 40000319721.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 127912999968 and 127913000013.

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 239 ways as a sum of consecutive naturals, for example, 139186701 + ... + 139187619.

It is an arithmetic number, because the mean of its divisors is an integer number (572574420).

Almost surely, 2^127913000040 is an apocalyptic number.

127913000040 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 127913000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274835721600).

127913000040 is an abundant number, since it is smaller than the sum of its proper divisors (421758443160).

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

127913000040 is a wasteful number, since it uses less digits than its factorization.

127913000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 127913000040 its reverse (40000319721), we get a palindrome (167913319761).

The spelling of 127913000040 in words is "one hundred twenty-seven billion, nine hundred thirteen million, forty", and thus it is an aban number.