127213333040 has 160 divisors (see below), whose sum is σ = 311097231360. Its totient is φ = 48285805568.

The previous prime is 127213333031. The next prime is 127213333069. The reversal of 127213333040 is 40333312721.

It is a junction number, because it is equal to n+sod(n) for n = 127213332994 and 127213333012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194813354 + ... + 194814006.

It is an arithmetic number, because the mean of its divisors is an integer number (1944357696).

Almost surely, 2^127213333040 is an apocalyptic number.

127213333040 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 127213333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155548615680).

127213333040 is an abundant number, since it is smaller than the sum of its proper divisors (183883898320).

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

127213333040 is a wasteful number, since it uses less digits than its factorization.

127213333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 29.

Adding to 127213333040 its reverse (40333312721), we get a palindrome (167546645761).

The spelling of 127213333040 in words is "one hundred twenty-seven billion, two hundred thirteen million, three hundred thirty-three thousand, forty".