1216464415200 has 864 divisors, whose sum is σ = 4700759132160. Its totient is φ = 306473932800.

The previous prime is 1216464415193. The next prime is 1216464415207. The reversal of 1216464415200 is 25144646121.

1216464415200 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 4 + 6 + 441 + 5 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (1216464415193) and next prime (1216464415207).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×1216464415200³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1216464415207) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 264964905 + ... + 264969495.

It is an arithmetic number, because the mean of its divisors is an integer number (5440693440).

Almost surely, 2^{1216464415200} is an apocalyptic number.

1216464415200 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 1216464415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350379566080).

1216464415200 is an abundant number, since it is smaller than the sum of its proper divisors (3484294716960).

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

1216464415200 is a wasteful number, since it uses less digits than its factorization.

1216464415200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4677 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1216464415200 in words is "one trillion, two hundred sixteen billion, four hundred sixty-four million, four hundred fifteen thousand, two hundred".