419949979557680 has 320 divisors, whose sum is σ = 1168011634720896. Its totient is φ = 139566518784000.

The previous prime is 419949979557673. The next prime is 419949979557683. The reversal of 419949979557680 is 86755979949914.

It is a self number, because there is not a number n which added to its sum of digits gives 419949979557680.

It is not an unprimeable number, because it can be changed into a prime (419949979557683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138306362 + ... + 141310118.

Almost surely, 2^{419949979557680} is an apocalyptic number.

419949979557680 is a gapful number since it is divisible by the number (40) 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 419949979557680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584005817360448).

419949979557680 is an abundant number, since it is smaller than the sum of its proper divisors (748061655163216).

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

419949979557680 is a wasteful number, since it uses less digits than its factorization.

419949979557680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003917 (or 3003889 counting only the distinct ones).

The product of its (nonzero) digits is 55553299200, while the sum is 92.

The spelling of 419949979557680 in words is "four hundred nineteen trillion, nine hundred forty-nine billion, nine hundred seventy-nine million, five hundred fifty-seven thousand, six hundred eighty".