127942610400 has 1728 divisors, whose sum is σ = 556884357120. Its totient is φ = 28329523200.

The previous prime is 127942610399. The next prime is 127942610407. The reversal of 127942610400 is 4016249721.

It is a happy number.

127942610400 is a `hidden beast` number, since 127 + 9 + 426 + 104 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127942610407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1909591167 + ... + 1909591233.

It is an arithmetic number, because the mean of its divisors is an integer number (322271040).

Almost surely, 2^127942610400 is an apocalyptic number.

127942610400 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 127942610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278442178560).

127942610400 is an abundant number, since it is smaller than the sum of its proper divisors (428941746720).

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

127942610400 is a wasteful number, since it uses less digits than its factorization.

127942610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 127942610400 in words is "one hundred twenty-seven billion, nine hundred forty-two million, six hundred ten thousand, four hundred".