419721002064 has 720 divisors, whose sum is σ = 1570665096000. Its totient is φ = 103401639936.

The previous prime is 419721002027. The next prime is 419721002081. The reversal of 419721002064 is 460200127914.

It is a happy number.

419721002064 is a `hidden beast` number, since 419 + 7 + 210 + 0 + 20 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 127225087 + ... + 127228385.

It is an arithmetic number, because the mean of its divisors is an integer number (2181479300).

Almost surely, 2^419721002064 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 419721002064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785332548000).

419721002064 is an abundant number, since it is smaller than the sum of its proper divisors (1150944093936).

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

419721002064 is a wasteful number, since it uses less digits than its factorization.

419721002064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 419721002064 its reverse (460200127914), we get a palindrome (879921129978).

The spelling of 419721002064 in words is "four hundred nineteen billion, seven hundred twenty-one million, two thousand, sixty-four".