12289604040 has 512 divisors, whose sum is σ = 49545216000. Its totient is φ = 2650060800.

The previous prime is 12289604029. The next prime is 12289604183. The reversal of 12289604040 is 4040698221.

12289604040 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 9 + 604 + 0 + 40 = 666.

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 = 12289603986 and 12289604004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9608121 + ... + 9609399.

It is an arithmetic number, because the mean of its divisors is an integer number (96768000).

Almost surely, 2^12289604040 is an apocalyptic number.

12289604040 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 12289604040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24772608000).

12289604040 is an abundant number, since it is smaller than the sum of its proper divisors (37255611960).

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

12289604040 is a wasteful number, since it uses less digits than its factorization.

12289604040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12289604040 in words is "twelve billion, two hundred eighty-nine million, six hundred four thousand, forty".