12384000498240 has 2240 divisors, whose sum is σ = 53961484566528. Its totient is φ = 2636225740800.

The previous prime is 12384000498217. The next prime is 12384000498263. The reversal of 12384000498240 is 4289400048321.

12384000498240 is a `hidden beast` number, since 1 + 238 + 400 + 0 + 4 + 9 + 8 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12384000498217) and next prime (12384000498263).

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 19140649597 + ... + 19140650243.

Almost surely, 2^{12384000498240} is an apocalyptic number.

12384000498240 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 12384000498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26980742283264).

12384000498240 is an abundant number, since it is smaller than the sum of its proper divisors (41577484068288).

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

12384000498240 is a wasteful number, since it uses less digits than its factorization.

12384000498240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 12384000498240 in words is "twelve trillion, three hundred eighty-four billion, four hundred ninety-eight thousand, two hundred forty".