126441453600 has 864 divisors, whose sum is σ = 576539099136. Its totient is φ = 26270438400.

The previous prime is 126441453599. The next prime is 126441453617. The reversal of 126441453600 is 6354144621.

126441453600 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 4 + 1 + 45 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14964577 + ... + 14973023.

It is an arithmetic number, because the mean of its divisors is an integer number (667290624).

Almost surely, 2^126441453600 is an apocalyptic number.

126441453600 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 126441453600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288269549568).

126441453600 is an abundant number, since it is smaller than the sum of its proper divisors (450097645536).

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

126441453600 is a wasteful number, since it uses less digits than its factorization.

126441453600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8500 (or 8475 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 126441453600 in words is "one hundred twenty-six billion, four hundred forty-one million, four hundred fifty-three thousand, six hundred".