1216466937140 has 576 divisors, whose sum is σ = 3382617047040. Its totient is φ = 363771233280.

The previous prime is 1216466936977. The next prime is 1216466937151. The reversal of 1216466937140 is 417396646121.

It is a super-2 number, since 2×1216466937140² (a number of 25 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 3962432867 + ... + 3962433173.

It is an arithmetic number, because the mean of its divisors is an integer number (5872599040).

Almost surely, 2^{1216466937140} is an apocalyptic number.

1216466937140 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 1216466937140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691308523520).

1216466937140 is an abundant number, since it is smaller than the sum of its proper divisors (2166150109900).

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

1216466937140 is a wasteful number, since it uses less digits than its factorization.

1216466937140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 50.

The spelling of 1216466937140 in words is "one trillion, two hundred sixteen billion, four hundred sixty-six million, nine hundred thirty-seven thousand, one hundred forty".