12789541440 has 672 divisors, whose sum is σ = 51539241600. Its totient is φ = 2976030720.

The previous prime is 12789541433. The next prime is 12789541489. The reversal of 12789541440 is 4414598721.

12789541440 is a `hidden beast` number, since 1 + 27 + 89 + 541 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27742810 + ... + 27743270.

It is an arithmetic number, because the mean of its divisors is an integer number (76695300).

Almost surely, 2^12789541440 is an apocalyptic number.

12789541440 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 12789541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25769620800).

12789541440 is an abundant number, since it is smaller than the sum of its proper divisors (38749700160).

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

12789541440 is a wasteful number, since it uses less digits than its factorization.

12789541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 12789541440 in words is "twelve billion, seven hundred eighty-nine million, five hundred forty-one thousand, four hundred forty".