419328104005632 has 272 divisors, whose sum is σ = 1144597870690560. Its totient is φ = 136478485118976.

The previous prime is 419328104005607. The next prime is 419328104005639. The reversal of 419328104005632 is 236500401823914.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419328104005639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31440954868 + ... + 31440968204.

Almost surely, 2^{419328104005632} 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 419328104005632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572298935345280).

419328104005632 is an abundant number, since it is smaller than the sum of its proper divisors (725269766684928).

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

419328104005632 is an equidigital number, since it uses as much as digits as its factorization.

419328104005632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17134 (or 17104 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 419328104005632 in words is "four hundred nineteen trillion, three hundred twenty-eight billion, one hundred four million, five thousand, six hundred thirty-two".