127832389440 has 448 divisors, whose sum is σ = 492064243200. Its totient is φ = 27448049664.

The previous prime is 127832389439. The next prime is 127832389483. The reversal of 127832389440 is 44983238721.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×127832389440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115267606 + ... + 115268714.

Almost surely, 2^127832389440 is an apocalyptic number.

127832389440 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 127832389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246032121600).

127832389440 is an abundant number, since it is smaller than the sum of its proper divisors (364231853760).

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

127832389440 is a wasteful number, since it uses less digits than its factorization.

127832389440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 127832389440 in words is "one hundred twenty-seven billion, eight hundred thirty-two million, three hundred eighty-nine thousand, four hundred forty".