1219041613440 has 768 divisors, whose sum is σ = 5064888890880. Its totient is φ = 264142061568.

The previous prime is 1219041613429. The next prime is 1219041613441. The reversal of 1219041613440 is 443161409121.

1219041613440 is a `hidden beast` number, since 1 + 2 + 190 + 4 + 16 + 13 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1219041613395 and 1219041613404.

It is not an unprimeable number, because it can be changed into a prime (1219041613441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104785864 + ... + 104797496.

It is an arithmetic number, because the mean of its divisors is an integer number (6594907410).

Almost surely, 2^{1219041613440} is an apocalyptic number.

1219041613440 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 1219041613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532444445440).

1219041613440 is an abundant number, since it is smaller than the sum of its proper divisors (3845847277440).

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

1219041613440 is a wasteful number, since it uses less digits than its factorization.

1219041613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11801 (or 11786 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1219041613440 in words is "one trillion, two hundred nineteen billion, forty-one million, six hundred thirteen thousand, four hundred forty".