4210778800800 has 864 divisors, whose sum is σ = 18027079318080. Its totient is φ = 942264576000.

The previous prime is 4210778800799. The next prime is 4210778800801. The reversal of 4210778800800 is 80088770124.

4210778800800 is a `hidden beast` number, since 421 + 0 + 7 + 78 + 80 + 0 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4210778800799) and next prime (4210778800801).

It is a tau number, because it is divible by the number of its divisors (864).

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 (4210778800801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33914835 + ... + 34038765.

Almost surely, 2^{4210778800800} is an apocalyptic number.

4210778800800 is a gapful number since it is divisible by the number (40) 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 4210778800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9013539659040).

4210778800800 is an abundant number, since it is smaller than the sum of its proper divisors (13816300517280).

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

4210778800800 is a wasteful number, since it uses less digits than its factorization.

4210778800800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123995 (or 123965 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 4210778800800 in words is "four trillion, two hundred ten billion, seven hundred seventy-eight million, eight hundred thousand, eight hundred".