126400505344 has 80 divisors (see below), whose sum is σ = 266590280880. Its totient is φ = 59872260096.

The previous prime is 126400505327. The next prime is 126400505351. The reversal of 126400505344 is 443505004621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3493812 + ... + 3529804.

It is an arithmetic number, because the mean of its divisors is an integer number (3332378511).

Almost surely, 2^126400505344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126400505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133295140440).

126400505344 is an abundant number, since it is smaller than the sum of its proper divisors (140189775536).

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

126400505344 is an frugal number, since it uses more digits than its factorization.

126400505344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36068 (or 36014 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 126400505344 its reverse (443505004621), we get a palindrome (569905509965).

The spelling of 126400505344 in words is "one hundred twenty-six billion, four hundred million, five hundred five thousand, three hundred forty-four".