219794216040 has 320 divisors, whose sum is σ = 860223576960. Its totient is φ = 49290508800.

The previous prime is 219794216021. The next prime is 219794216051. The reversal of 219794216040 is 40612497912.

219794216040 is a `hidden beast` number, since 2 + 19 + 7 + 9 + 4 + 21 + 604 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1110615 + ... + 1293465.

It is an arithmetic number, because the mean of its divisors is an integer number (2688198678).

Almost surely, 2^219794216040 is an apocalyptic number.

219794216040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219794216040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430111788480).

219794216040 is an abundant number, since it is smaller than the sum of its proper divisors (640429360920).

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

219794216040 is a wasteful number, since it uses less digits than its factorization.

219794216040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182934 (or 182921 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 219794216040 in words is "two hundred nineteen billion, seven hundred ninety-four million, two hundred sixteen thousand, forty".