126284838400 has 720 divisors, whose sum is σ = 386545951440. Its totient is φ = 40702771200.

The previous prime is 126284838397. The next prime is 126284838403. The reversal of 126284838400 is 4838482621.

It is an interprime number because it is at equal distance from previous prime (126284838397) and next prime (126284838403).

It is a super-2 number, since 2×126284838400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126284838403) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 964006335 + ... + 964006465.

It is an arithmetic number, because the mean of its divisors is an integer number (536869377).

Almost surely, 2^126284838400 is an apocalyptic number.

126284838400 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 126284838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193272975720).

126284838400 is an abundant number, since it is smaller than the sum of its proper divisors (260261113040).

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

126284838400 is a wasteful number, since it uses less digits than its factorization.

126284838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 46.

The spelling of 126284838400 in words is "one hundred twenty-six billion, two hundred eighty-four million, eight hundred thirty-eight thousand, four hundred".