12800454480 has 360 divisors, whose sum is σ = 47499433800. Its totient is φ = 3086899200.

The previous prime is 12800454467. The next prime is 12800454481. The reversal of 12800454480 is 8445400821.

12800454480 is a `hidden beast` number, since 128 + 0 + 0 + 4 + 54 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 92852496 + 12707601984 = 9636^2 + 112728^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12800454481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30404670 + ... + 30405090.

Almost surely, 2^12800454480 is an apocalyptic number.

12800454480 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 12800454480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23749716900).

12800454480 is an abundant number, since it is smaller than the sum of its proper divisors (34698979320).

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

12800454480 is a wasteful number, since it uses less digits than its factorization.

12800454480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 12800454480 in words is "twelve billion, eight hundred million, four hundred fifty-four thousand, four hundred eighty".