126935396400384 has 2880 divisors, whose sum is σ = 502953021204480. Its totient is φ = 31213486080000.

The previous prime is 126935396400341. The next prime is 126935396400557. The reversal of 126935396400384 is 483004693539621.

126935396400384 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 3 + 539 + 64 + 0 + 0 + 38 + 4 = 666.

It is a super-2 number, since 2×126935396400384² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 45317883784 + ... + 45317886584.

It is an arithmetic number, because the mean of its divisors is an integer number (174636465696).

Almost surely, 2^{126935396400384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126935396400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251476510602240).

126935396400384 is an abundant number, since it is smaller than the sum of its proper divisors (376017624804096).

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

126935396400384 is a wasteful number, since it uses less digits than its factorization.

126935396400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 126935396400384 in words is "one hundred twenty-six trillion, nine hundred thirty-five billion, three hundred ninety-six million, four hundred thousand, three hundred eighty-four".