127991249442 has 320 divisors, whose sum is σ = 362909859840. Its totient is φ = 32873817600.

The previous prime is 127991249429. The next prime is 127991249447. The reversal of 127991249442 is 244942199721.

127991249442 is a `hidden beast` number, since 1 + 2 + 79 + 9 + 124 + 9 + 442 = 666.

It is a super-2 number, since 2×127991249442² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (127991249447) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 47210467 + ... + 47213177.

It is an arithmetic number, because the mean of its divisors is an integer number (1134093312).

Almost surely, 2^127991249442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127991249442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181454929920).

127991249442 is an abundant number, since it is smaller than the sum of its proper divisors (234918610398).

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

127991249442 is a wasteful number, since it uses less digits than its factorization.

127991249442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859 (or 2850 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 127991249442 in words is "one hundred twenty-seven billion, nine hundred ninety-one million, two hundred forty-nine thousand, four hundred forty-two".