1219540008960 has 1920 divisors, whose sum is σ = 5474909583360. Its totient is φ = 250727104512.

The previous prime is 1219540008923. The next prime is 1219540008961. The reversal of 1219540008960 is 698000459121.

1219540008960 is a `hidden beast` number, since 1 + 2 + 19 + 540 + 0 + 0 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×1219540008960³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1219540008961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14693253079 + ... + 14693253161.

It is an arithmetic number, because the mean of its divisors is an integer number (2851515408).

Almost surely, 2^{1219540008960} is an apocalyptic number.

1219540008960 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 1219540008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737454791680).

1219540008960 is an abundant number, since it is smaller than the sum of its proper divisors (4255369574400).

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

1219540008960 is an equidigital number, since it uses as much as digits as its factorization.

1219540008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1219540008960 in words is "one trillion, two hundred nineteen billion, five hundred forty million, eight thousand, nine hundred sixty".