126742413823488 has 1280 divisors, whose sum is σ = 429100764364800. Its totient is φ = 36701485793280.

The previous prime is 126742413823477. The next prime is 126742413823507. The reversal of 126742413823488 is 884328314247621.

126742413823488 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 4 + 241 + 382 + 3 + 4 + 8 + 8 = 666.

126742413823488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×126742413823488³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 127 ways as a sum of consecutive naturals, for example, 73559148195 + ... + 73559149917.

It is an arithmetic number, because the mean of its divisors is an integer number (335234972160).

Almost surely, 2^{126742413823488} is an apocalyptic number.

126742413823488 is a gapful number since it is divisible by the number (18) 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 126742413823488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214550382182400).

126742413823488 is an abundant number, since it is smaller than the sum of its proper divisors (302358350541312).

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

126742413823488 is a wasteful number, since it uses less digits than its factorization.

126742413823488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2238 counting only the distinct ones).

The product of its digits is 99090432, while the sum is 63.

The spelling of 126742413823488 in words is "one hundred twenty-six trillion, seven hundred forty-two billion, four hundred thirteen million, eight hundred twenty-three thousand, four hundred eighty-eight".