1216442111040 has 560 divisors, whose sum is σ = 4708119577392. Its totient is φ = 296337014784.

The previous prime is 1216442110969. The next prime is 1216442111113. The reversal of 1216442111040 is 401112446121.

It is a happy number.

1216442111040 is a `hidden beast` number, since 1 + 2 + 1 + 644 + 2 + 1 + 1 + 10 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 121087296576 + 1095354814464 = 347976^2 + 1046592^2 .

It is a super-2 number, since 2×1216442111040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1216442110995 and 1216442111013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32666512 + ... + 32703728.

Almost surely, 2^{1216442111040} is an apocalyptic number.

1216442111040 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 1216442111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354059788696).

1216442111040 is an abundant number, since it is smaller than the sum of its proper divisors (3491677466352).

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

1216442111040 is a wasteful number, since it uses less digits than its factorization.

1216442111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37356 (or 37337 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 1216442111040 its reverse (401112446121), we get a palindrome (1617554557161).

The spelling of 1216442111040 in words is "one trillion, two hundred sixteen billion, four hundred forty-two million, one hundred eleven thousand, forty".