127225866240 has 576 divisors, whose sum is σ = 497229969600. Its totient is φ = 30834524160.

The previous prime is 127225866203. The next prime is 127225866241. The reversal of 127225866240 is 42668522721.

127225866240 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 2 + 586 + 62 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (127225866241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33452179 + ... + 33455981.

It is an arithmetic number, because the mean of its divisors is an integer number (863246475).

Almost surely, 2^127225866240 is an apocalyptic number.

127225866240 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 127225866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248614984800).

127225866240 is an abundant number, since it is smaller than the sum of its proper divisors (370004103360).

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

127225866240 is a wasteful number, since it uses less digits than its factorization.

127225866240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 127225866240 in words is "one hundred twenty-seven billion, two hundred twenty-five million, eight hundred sixty-six thousand, two hundred forty".