219139805430 has 1024 divisors, whose sum is σ = 818308915200. Its totient is φ = 40370503680.

The previous prime is 219139805429. The next prime is 219139805441. The reversal of 219139805430 is 34508931912.

It is a happy number.

219139805430 is a `hidden beast` number, since 2 + 1 + 9 + 13 + 98 + 0 + 543 + 0 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 420613570 + ... + 420614090.

It is an arithmetic number, because the mean of its divisors is an integer number (799129800).

Almost surely, 2^219139805430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219139805430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409154457600).

219139805430 is an abundant number, since it is smaller than the sum of its proper divisors (599169109770).

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

219139805430 is a wasteful number, since it uses less digits than its factorization.

219139805430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 219139805430 in words is "two hundred nineteen billion, one hundred thirty-nine million, eight hundred five thousand, four hundred thirty".