126826106940 has 768 divisors, whose sum is σ = 474765312000. Its totient is φ = 27814440960.

The previous prime is 126826106917. The next prime is 126826106969. The reversal of 126826106940 is 49601628621.

126826106940 is a `hidden beast` number, since 1 + 26 + 8 + 2 + 610 + 6 + 9 + 4 + 0 = 666.

It is a super-2 number, since 2×126826106940² (a number of 23 digits) contains 22 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 (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 152986446 + ... + 152987274.

It is an arithmetic number, because the mean of its divisors is an integer number (618184000).

Almost surely, 2^126826106940 is an apocalyptic number.

126826106940 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 126826106940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237382656000).

126826106940 is an abundant number, since it is smaller than the sum of its proper divisors (347939205060).

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

126826106940 is a wasteful number, since it uses less digits than its factorization.

126826106940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 126826106940 in words is "one hundred twenty-six billion, eight hundred twenty-six million, one hundred six thousand, nine hundred forty".