126044276400 has 720 divisors, whose sum is σ = 546433026048. Its totient is φ = 26237952000.

The previous prime is 126044276387. The next prime is 126044276437. The reversal of 126044276400 is 4672440621.

126044276400 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 4 + 4 + 2 + 7 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×126044276400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13275655 + ... + 13285145.

Almost surely, 2^126044276400 is an apocalyptic number.

126044276400 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 126044276400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273216513024).

126044276400 is an abundant number, since it is smaller than the sum of its proper divisors (420388749648).

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

126044276400 is a wasteful number, since it uses less digits than its factorization.

126044276400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9570 (or 9556 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 126044276400 in words is "one hundred twenty-six billion, forty-four million, two hundred seventy-six thousand, four hundred".