12445655040 has 1008 divisors, whose sum is σ = 55066146408. Its totient is φ = 2576351232.

The previous prime is 12445655003. The next prime is 12445655041. The reversal of 12445655040 is 4055654421.

12445655040 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 565 + 50 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9105739776 + 3339915264 = 95424^2 + 57792^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

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 = 12445654986 and 12445655004.

It is not an unprimeable number, because it can be changed into a prime (12445655041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 234823654 + ... + 234823706.

Almost surely, 2^12445655040 is an apocalyptic number.

12445655040 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 12445655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27533073204).

12445655040 is an abundant number, since it is smaller than the sum of its proper divisors (42620491368).

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

12445655040 is a wasteful number, since it uses less digits than its factorization.

12445655040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 12445655040 in words is "twelve billion, four hundred forty-five million, six hundred fifty-five thousand, forty".