4116987648000 has 1728 divisors, whose sum is σ = 16418977192800. Its totient is φ = 1028771020800.

The previous prime is 4116987647989. The next prime is 4116987648083. The reversal of 4116987648000 is 8467896114.

4116987648000 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 98 + 76 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 17978111886 + ... + 17978112114.

Almost surely, 2^{4116987648000} is an apocalyptic number.

4116987648000 is a gapful number since it is divisible by the number (40) 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 4116987648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8209488596400).

4116987648000 is an abundant number, since it is smaller than the sum of its proper divisors (12301989544800).

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

4116987648000 is an equidigital number, since it uses as much as digits as its factorization.

4116987648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 4116987648000 in words is "four trillion, one hundred sixteen billion, nine hundred eighty-seven million, six hundred forty-eight thousand".