419066970432 has 336 divisors, whose sum is σ = 1255474248000. Its totient is φ = 123184005120.

The previous prime is 419066970419. The next prime is 419066970433. The reversal of 419066970432 is 234079660914.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419066970433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428931928 + ... + 428932904.

It is an arithmetic number, because the mean of its divisors is an integer number (3736530500).

Almost surely, 2^419066970432 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 419066970432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627737124000).

419066970432 is an abundant number, since it is smaller than the sum of its proper divisors (836407277568).

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

419066970432 is a wasteful number, since it uses less digits than its factorization.

419066970432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 419066970432 in words is "four hundred nineteen billion, sixty-six million, nine hundred seventy thousand, four hundred thirty-two".