12465840240 has 720 divisors, whose sum is σ = 52769890368. Its totient is φ = 2574286848.

The previous prime is 12465840199. The next prime is 12465840259. The reversal of 12465840240 is 4204856421.

12465840240 is a `hidden beast` number, since 1 + 246 + 5 + 8 + 402 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 12465840195 and 12465840204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72056794 + ... + 72056966.

Almost surely, 2^12465840240 is an apocalyptic number.

12465840240 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 12465840240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26384945184).

12465840240 is an abundant number, since it is smaller than the sum of its proper divisors (40304050128).

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

12465840240 is a wasteful number, since it uses less digits than its factorization.

12465840240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 12465840240 in words is "twelve billion, four hundred sixty-five million, eight hundred forty thousand, two hundred forty".