12359543040 has 216 divisors, whose sum is σ = 46052730360. Its totient is φ = 3042312192.

The previous prime is 12359543039. The next prime is 12359543093. The reversal of 12359543040 is 4034595321.

12359543040 is a `hidden beast` number, since 1 + 23 + 59 + 543 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1218816 + 12358324224 = 1104^2 + 111168^2 .

It is a super-2 number, since 2×12359543040² (a number of 21 digits) contains 22 as substring.

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 = 12359542986 and 12359543004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108496 + ... + 191024.

It is an arithmetic number, because the mean of its divisors is an integer number (213207085).

Almost surely, 2^12359543040 is an apocalyptic number.

12359543040 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 12359543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23026365180).

12359543040 is an abundant number, since it is smaller than the sum of its proper divisors (33693187320).

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

12359543040 is a wasteful number, since it uses less digits than its factorization.

12359543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82569 (or 82552 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 12359543040 in words is "twelve billion, three hundred fifty-nine million, five hundred forty-three thousand, forty".