419261709516 has 192 divisors, whose sum is σ = 1121048248320. Its totient is φ = 120891294720.

The previous prime is 419261709511. The next prime is 419261709527. The reversal of 419261709516 is 615907162914.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (419261709511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105685365 + ... + 105689331.

It is an arithmetic number, because the mean of its divisors is an integer number (5838792960).

Almost surely, 2^419261709516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419261709516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560524124160).

419261709516 is an abundant number, since it is smaller than the sum of its proper divisors (701786538804).

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

419261709516 is a wasteful number, since it uses less digits than its factorization.

419261709516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384 (or 4382 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 419261709516 in words is "four hundred nineteen billion, two hundred sixty-one million, seven hundred nine thousand, five hundred sixteen".