1411893621216 has 288 divisors, whose sum is σ = 4398858067968. Its totient is φ = 426964608000.

The previous prime is 1411893621199. The next prime is 1411893621223. The reversal of 1411893621216 is 6121263981141.

1411893621216 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 8 + 9 + 3 + 621 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50863341 + ... + 50891091.

It is an arithmetic number, because the mean of its divisors is an integer number (15273812736).

Almost surely, 2^{1411893621216} is an apocalyptic number.

1411893621216 is a gapful number since it is divisible by the number (16) 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 1411893621216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199429033984).

1411893621216 is an abundant number, since it is smaller than the sum of its proper divisors (2986964446752).

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

1411893621216 is a wasteful number, since it uses less digits than its factorization.

1411893621216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28014 (or 28003 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 1411893621216 in words is "one trillion, four hundred eleven billion, eight hundred ninety-three million, six hundred twenty-one thousand, two hundred sixteen".