126816070026240 has 1056 divisors, whose sum is σ = 513418413081600. Its totient is φ = 28930999910400.

The previous prime is 126816070026209. The next prime is 126816070026281. The reversal of 126816070026240 is 42620070618621.

126816070026240 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 16 + 0 + 7 + 0 + 0 + 2 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 8550735625 + ... + 8550750455.

Almost surely, 2^{126816070026240} is an apocalyptic number.

126816070026240 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 126816070026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256709206540800).

126816070026240 is an abundant number, since it is smaller than the sum of its proper divisors (386602343055360).

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

126816070026240 is a wasteful number, since it uses less digits than its factorization.

126816070026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15424 (or 15389 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 126816070026240 in words is "one hundred twenty-six trillion, eight hundred sixteen billion, seventy million, twenty-six thousand, two hundred forty".