1216041984 has 198 divisors, whose sum is σ = 3666303914. Its totient is φ = 403107840.

The previous prime is 1216041961. The next prime is 1216041997. The reversal of 1216041984 is 4891406121.

1216041984 is a `hidden beast` number, since 1 + 2 + 160 + 419 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 671846400 + 544195584 = 25920^2 + 23328^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6718374 + ... + 6718554.

Almost surely, 2^1216041984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216041984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833151957).

1216041984 is an abundant number, since it is smaller than the sum of its proper divisors (2450261930).

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

1216041984 is an frugal number, since it uses more digits than its factorization.

1216041984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1216041984 is about 34871.7935300151. The cubic root of 1216041984 is about 1067.3729433578.

The spelling of 1216041984 in words is "one billion, two hundred sixteen million, forty-one thousand, nine hundred eighty-four".