1780409219840 has 144 divisors (see below), whose sum is σ = 4292965910016. Its totient is φ = 707443507200.

The previous prime is 1780409219839. The next prime is 1780409219899. The reversal of 1780409219840 is 489129040871.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188978330 + ... + 188987750.

It is an arithmetic number, because the mean of its divisors is an integer number (29812263264).

Almost surely, 2^{1780409219840} is an apocalyptic number.

1780409219840 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 1780409219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146482955008).

1780409219840 is an abundant number, since it is smaller than the sum of its proper divisors (2512556690176).

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

1780409219840 is an equidigital number, since it uses as much as digits as its factorization.

1780409219840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10406 (or 10392 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 53.

The spelling of 1780409219840 in words is "one trillion, seven hundred eighty billion, four hundred nine million, two hundred nineteen thousand, eight hundred forty".