126368096400 has 360 divisors, whose sum is σ = 539733579840. Its totient is φ = 26662210560.

The previous prime is 126368096389. The next prime is 126368096419. The reversal of 126368096400 is 4690863621.

126368096400 is a `hidden beast` number, since 1 + 2 + 636 + 8 + 0 + 9 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 134731 + ... + 520469.

It is an arithmetic number, because the mean of its divisors is an integer number (1499259944).

Almost surely, 2^126368096400 is an apocalyptic number.

126368096400 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 126368096400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269866789920).

126368096400 is an abundant number, since it is smaller than the sum of its proper divisors (413365483440).

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

126368096400 is a wasteful number, since it uses less digits than its factorization.

126368096400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385783 (or 385769 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 126368096400 in words is "one hundred twenty-six billion, three hundred sixty-eight million, ninety-six thousand, four hundred".