126819468809040 has 640 divisors, whose sum is σ = 459852624691200. Its totient is φ = 28314991411200.

The previous prime is 126819468809021. The next prime is 126819468809051. The reversal of 126819468809040 is 40908864918621.

It is a happy number.

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, 22292046516 + ... + 22292052204.

It is an arithmetic number, because the mean of its divisors is an integer number (718519726080).

Almost surely, 2^{126819468809040} is an apocalyptic number.

126819468809040 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 126819468809040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229926312345600).

126819468809040 is an abundant number, since it is smaller than the sum of its proper divisors (333033155882160).

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

126819468809040 is a wasteful number, since it uses less digits than its factorization.

126819468809040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7555 (or 7549 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 66.

The spelling of 126819468809040 in words is "one hundred twenty-six trillion, eight hundred nineteen billion, four hundred sixty-eight million, eight hundred nine thousand, forty".