12801840480 has 1536 divisors, whose sum is σ = 59256852480. Its totient is φ = 2530344960.

The previous prime is 12801840413. The next prime is 12801840487. The reversal of 12801840480 is 8404810821.

It is a happy number.

12801840480 is a `hidden beast` number, since 128 + 0 + 18 + 40 + 480 = 666.

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 (12801840487) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 241544134 + ... + 241544186.

It is an arithmetic number, because the mean of its divisors is an integer number (38578680).

Almost surely, 2^12801840480 is an apocalyptic number.

12801840480 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 12801840480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29628426240).

12801840480 is an abundant number, since it is smaller than the sum of its proper divisors (46455012000).

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

12801840480 is a wasteful number, since it uses less digits than its factorization.

12801840480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 12801840480 in words is "twelve billion, eight hundred one million, eight hundred forty thousand, four hundred eighty".