126996934643040 has 384 divisors, whose sum is σ = 500738692608000. Its totient is φ = 26283836160000.

The previous prime is 126996934642987. The next prime is 126996934643057. The reversal of 126996934643040 is 40346439699621.

It is a super-2 number, since 2×126996934643040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 2432211 + ... + 16121709.

It is an arithmetic number, because the mean of its divisors is an integer number (1304007012000).

Almost surely, 2^{126996934643040} is an apocalyptic number.

126996934643040 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 126996934643040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250369346304000).

126996934643040 is an abundant number, since it is smaller than the sum of its proper divisors (373741757964960).

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

126996934643040 is a wasteful number, since it uses less digits than its factorization.

126996934643040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13689786 (or 13689778 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 66.

The spelling of 126996934643040 in words is "one hundred twenty-six trillion, nine hundred ninety-six billion, nine hundred thirty-four million, six hundred forty-three thousand, forty".