1219919509440 has 336 divisors, whose sum is σ = 4334715979776. Its totient is φ = 314574796800.

The previous prime is 1219919509399. The next prime is 1219919509441. The reversal of 1219919509440 is 449059199121.

1219919509440 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 9 + 195 + 0 + 9 + 440 = 666.

It is a super-2 number, since 2×1219919509440² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1219919509441) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 134897559 + ... + 134906601.

It is an arithmetic number, because the mean of its divisors is an integer number (12900940416).

Almost surely, 2^{1219919509440} is an apocalyptic number.

1219919509440 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 1219919509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167357989888).

1219919509440 is an abundant number, since it is smaller than the sum of its proper divisors (3114796470336).

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

1219919509440 is a wasteful number, since it uses less digits than its factorization.

1219919509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10608 (or 10595 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 1219919509440 in words is "one trillion, two hundred nineteen billion, nine hundred nineteen million, five hundred nine thousand, four hundred forty".