419149535220 has 240 divisors, whose sum is σ = 1429031770320. Its totient is φ = 102228148224.

The previous prime is 419149535209. The next prime is 419149535227. The reversal of 419149535220 is 22535941914.

It is a happy number.

419149535220 is a `hidden beast` number, since 4 + 1 + 91 + 4 + 9 + 535 + 2 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2295943056 + 416853592164 = 47916^2 + 645642^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419149535227) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2204244 + ... + 2386836.

It is an arithmetic number, because the mean of its divisors is an integer number (5954299043).

Almost surely, 2^419149535220 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 419149535220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714515885160).

419149535220 is an abundant number, since it is smaller than the sum of its proper divisors (1009882235100).

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

419149535220 is a wasteful number, since it uses less digits than its factorization.

419149535220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182736 (or 182725 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 419149535220 in words is "four hundred nineteen billion, one hundred forty-nine million, five hundred thirty-five thousand, two hundred twenty".