127413888006240 has 576 divisors, whose sum is σ = 492642344113920. Its totient is φ = 30841275709440.

The previous prime is 127413888006239. The next prime is 127413888006257. The reversal of 127413888006240 is 42600888314721.

127413888006240 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 1 + 3 + 8 + 8 + 8 + 0 + 0 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 281615082 + ... + 282067158.

It is an arithmetic number, because the mean of its divisors is an integer number (855281847420).

Almost surely, 2^{127413888006240} is an apocalyptic number.

127413888006240 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 127413888006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246321172056960).

127413888006240 is an abundant number, since it is smaller than the sum of its proper divisors (365228456107680).

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

127413888006240 is a wasteful number, since it uses less digits than its factorization.

127413888006240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452777 (or 452757 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 127413888006240 in words is "one hundred twenty-seven trillion, four hundred thirteen billion, eight hundred eighty-eight million, six thousand, two hundred forty".