126814661318400 has 864 divisors, whose sum is σ = 477929026584576. Its totient is φ = 29332101120000.

The previous prime is 126814661318399. The next prime is 126814661318479. The reversal of 126814661318400 is 4813166418621.

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 95 ways as a sum of consecutive naturals, for example, 464714797 + ... + 464987603.

It is an arithmetic number, because the mean of its divisors is an integer number (553158595584).

Almost surely, 2^{126814661318400} is an apocalyptic number.

126814661318400 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 126814661318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238964513292288).

126814661318400 is an abundant number, since it is smaller than the sum of its proper divisors (351114365266176).

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

126814661318400 is a wasteful number, since it uses less digits than its factorization.

126814661318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272949 (or 272930 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 126814661318400 in words is "one hundred twenty-six trillion, eight hundred fourteen billion, six hundred sixty-one million, three hundred eighteen thousand, four hundred".