12002444072640 has 1344 divisors, whose sum is σ = 50941882368000. Its totient is φ = 2531388948480.

The previous prime is 12002444072621. The next prime is 12002444072669. The reversal of 12002444072640 is 4627044420021.

12002444072640 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 2 + 4 + 4 + 4 + 0 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 = 12002444072595 and 12002444072604.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8006966611 + ... + 8006968109.

Almost surely, 2^{12002444072640} is an apocalyptic number.

12002444072640 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 12002444072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25470941184000).

12002444072640 is an abundant number, since it is smaller than the sum of its proper divisors (38939438295360).

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

12002444072640 is a wasteful number, since it uses less digits than its factorization.

12002444072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

Adding to 12002444072640 its reverse (4627044420021), we get a palindrome (16629488492661).

The spelling of 12002444072640 in words is "twelve trillion, two billion, four hundred forty-four million, seventy-two thousand, six hundred forty".