126114665040 has 640 divisors, whose sum is σ = 547714944000. Its totient is φ = 25958154240.

The previous prime is 126114665029. The next prime is 126114665063. The reversal of 126114665040 is 40566411621.

126114665040 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 146 + 6 + 504 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 126114664986 and 126114665004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8051136 + ... + 8066784.

It is an arithmetic number, because the mean of its divisors is an integer number (855804600).

Almost surely, 2^126114665040 is an apocalyptic number.

126114665040 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 126114665040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273857472000).

126114665040 is an abundant number, since it is smaller than the sum of its proper divisors (421600278960).

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

126114665040 is a wasteful number, since it uses less digits than its factorization.

126114665040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15732 (or 15720 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 126114665040 in words is "one hundred twenty-six billion, one hundred fourteen million, six hundred sixty-five thousand, forty".