219400396800 has 504 divisors, whose sum is σ = 785907058104. Its totient is φ = 53980692480.

The previous prime is 219400396763. The next prime is 219400396877. The reversal of 219400396800 is 8693004912.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103832544 + ... + 103834656.

It is an arithmetic number, because the mean of its divisors is an integer number (1559339401).

Almost surely, 2^219400396800 is an apocalyptic number.

219400396800 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 219400396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392953529052).

219400396800 is an abundant number, since it is smaller than the sum of its proper divisors (566506661304).

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

219400396800 is a wasteful number, since it uses less digits than its factorization.

219400396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 219400396800 in words is "two hundred nineteen billion, four hundred million, three hundred ninety-six thousand, eight hundred".