12459704040 has 256 divisors, whose sum is σ = 47551795200. Its totient is φ = 2842760448.

The previous prime is 12459703987. The next prime is 12459704041. The reversal of 12459704040 is 4040795421.

It is a happy number.

12459704040 is a `hidden beast` number, since 1 + 24 + 597 + 0 + 4 + 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 = 12459703986 and 12459704004.

It is not an unprimeable number, because it can be changed into a prime (12459704041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5494987 + ... + 5497253.

It is an arithmetic number, because the mean of its divisors is an integer number (185749200).

Almost surely, 2^12459704040 is an apocalyptic number.

12459704040 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 12459704040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23775897600).

12459704040 is an abundant number, since it is smaller than the sum of its proper divisors (35092091160).

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

12459704040 is a wasteful number, since it uses less digits than its factorization.

12459704040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12459704040 in words is "twelve billion, four hundred fifty-nine million, seven hundred four thousand, forty".