12400045056 has 528 divisors, whose sum is σ = 43628611680. Its totient is φ = 3511517184.

The previous prime is 12400045051. The next prime is 12400045057. The reversal of 12400045056 is 65054000421.

It is a super-2 number, since 2×12400045056² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12400045051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109734856 + ... + 109734968.

Almost surely, 2^12400045056 is an apocalyptic number.

12400045056 is a gapful number since it is divisible by the number (16) 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 12400045056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21814305840).

12400045056 is an abundant number, since it is smaller than the sum of its proper divisors (31228566624).

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

12400045056 is an frugal number, since it uses more digits than its factorization.

12400045056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 12400045056 its reverse (65054000421), we get a palindrome (77454045477).

The spelling of 12400045056 in words is "twelve billion, four hundred million, forty-five thousand, fifty-six".