16412790240000 has 1800 divisors, whose sum is σ = 76250313689088. Its totient is φ = 3410242560000.

The previous prime is 16412790239893. The next prime is 16412790240029. The reversal of 16412790240000 is 4209721461.

It is a happy number.

16412790240000 is a `hidden beast` number, since 1 + 641 + 2 + 7 + 9 + 0 + 2 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 997911777 + ... + 997928223.

Almost surely, 2^{16412790240000} is an apocalyptic number.

16412790240000 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 16412790240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38125156844544).

16412790240000 is an abundant number, since it is smaller than the sum of its proper divisors (59837523449088).

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

16412790240000 is an equidigital number, since it uses as much as digits as its factorization.

16412790240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16513 (or 16475 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 16412790240000 its reverse (4209721461), we get a palindrome (16416999961461).

The spelling of 16412790240000 in words is "sixteen trillion, four hundred twelve billion, seven hundred ninety million, two hundred forty thousand".