12807383040 has 288 divisors, whose sum is σ = 46041035040. Its totient is φ = 3414638592.

The previous prime is 12807383027. The next prime is 12807383063. The reversal of 12807383040 is 4038370821.

12807383040 is a `hidden beast` number, since 1 + 280 + 73 + 8 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 12807382986 and 12807383004.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2485747 + ... + 2490893.

It is an arithmetic number, because the mean of its divisors is an integer number (159864705).

Almost surely, 2^12807383040 is an apocalyptic number.

12807383040 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 12807383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23020517520).

12807383040 is an abundant number, since it is smaller than the sum of its proper divisors (33233652000).

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

12807383040 is an frugal number, since it uses more digits than its factorization.

12807383040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5189 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12807383040 in words is "twelve billion, eight hundred seven million, three hundred eighty-three thousand, forty".