419648488416 has 288 divisors, whose sum is σ = 1249165663200. Its totient is φ = 138769873920.

The previous prime is 419648488411. The next prime is 419648488423. The reversal of 419648488416 is 614884846914.

419648488416 is a `hidden beast` number, since 4 + 1 + 9 + 64 + 84 + 88 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×419648488416² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419648488411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1026035220 + ... + 1026035628.

It is an arithmetic number, because the mean of its divisors is an integer number (4337380775).

Almost surely, 2^419648488416 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 419648488416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624582831600).

419648488416 is an abundant number, since it is smaller than the sum of its proper divisors (829517174784).

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

419648488416 is an frugal number, since it uses more digits than its factorization.

419648488416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 595 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 63.

It can be divided in two parts, 4196484 and 88416, that added together give a square (4284900 = 2070²).

The spelling of 419648488416 in words is "four hundred nineteen billion, six hundred forty-eight million, four hundred eighty-eight thousand, four hundred sixteen".