1219056442560 has 336 divisors, whose sum is σ = 4586739835392. Its totient is φ = 294720768000.

The previous prime is 1219056442553. The next prime is 1219056442567. The reversal of 1219056442560 is 652446509121.

1219056442560 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 0 + 564 + 4 + 25 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1219056442553) and next prime (1219056442567).

It is a super-2 number, since 2×1219056442560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1219056442567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11574135 + ... + 11678985.

Almost surely, 2^{1219056442560} is an apocalyptic number.

1219056442560 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 1219056442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293369917696).

1219056442560 is an abundant number, since it is smaller than the sum of its proper divisors (3367683392832).

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

1219056442560 is a wasteful number, since it uses less digits than its factorization.

1219056442560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105252 (or 105239 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1219056442560 in words is "one trillion, two hundred nineteen billion, fifty-six million, four hundred forty-two thousand, five hundred sixty".