127541993040 has 1280 divisors, whose sum is σ = 585562521600. Its totient is φ = 24733900800.

The previous prime is 127541993039. The next prime is 127541993057. The reversal of 127541993040 is 40399145721.

127541993040 is a `hidden beast` number, since 12 + 7 + 541 + 9 + 93 + 0 + 4 + 0 = 666.

It is a super-3 number, since 3×127541993040³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 149521254 + ... + 149522106.

It is an arithmetic number, because the mean of its divisors is an integer number (457470720).

Almost surely, 2^127541993040 is an apocalyptic number.

127541993040 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 127541993040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292781260800).

127541993040 is an abundant number, since it is smaller than the sum of its proper divisors (458020528560).

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

127541993040 is a wasteful number, since it uses less digits than its factorization.

127541993040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 127541993040 in words is "one hundred twenty-seven billion, five hundred forty-one million, nine hundred ninety-three thousand, forty".