126104711040 has 768 divisors, whose sum is σ = 546665034240. Its totient is φ = 26022297600.

The previous prime is 126104711039. The next prime is 126104711059. The reversal of 126104711040 is 40117401621.

126104711040 is a `hidden beast` number, since 1 + 2 + 610 + 4 + 7 + 1 + 1 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 126104710995 and 126104711013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69631735 + ... + 69633545.

It is an arithmetic number, because the mean of its divisors is an integer number (711803430).

Almost surely, 2^126104711040 is an apocalyptic number.

126104711040 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 126104711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273332517120).

126104711040 is an abundant number, since it is smaller than the sum of its proper divisors (420560323200).

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

126104711040 is a wasteful number, since it uses less digits than its factorization.

126104711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 126104711040 in words is "one hundred twenty-six billion, one hundred four million, seven hundred eleven thousand, forty".