126831089989440 has 672 divisors, whose sum is σ = 488935513872000. Its totient is φ = 29988229349376.

The previous prime is 126831089989361. The next prime is 126831089989451. The reversal of 126831089989440 is 44989980138621.

126831089989440 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 3 + 10 + 8 + 99 + 89 + 440 = 666.

It is a super-2 number, since 2×126831089989440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166132116 + ... + 166893804.

Almost surely, 2^{126831089989440} is an apocalyptic number.

126831089989440 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 126831089989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244467756936000).

126831089989440 is an abundant number, since it is smaller than the sum of its proper divisors (362104423882560).

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

126831089989440 is a wasteful number, since it uses less digits than its factorization.

126831089989440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761927 (or 761914 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 126831089989440 in words is "one hundred twenty-six trillion, eight hundred thirty-one billion, eighty-nine million, nine hundred eighty-nine thousand, four hundred forty".