4213310722560 has 1600 divisors, whose sum is σ = 16709635514880. Its totient is φ = 1010970132480.

The previous prime is 4213310722549. The next prime is 4213310722571. The reversal of 4213310722560 is 652270133124.

4213310722560 is a `hidden beast` number, since 4 + 2 + 1 + 331 + 0 + 72 + 256 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4213310722549) and next prime (4213310722571).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5670673549 + ... + 5670674291.

Almost surely, 2^{4213310722560} is an apocalyptic number.

4213310722560 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 4213310722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8354817757440).

4213310722560 is an abundant number, since it is smaller than the sum of its proper divisors (12496324792320).

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

4213310722560 is a wasteful number, since it uses less digits than its factorization.

4213310722560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 4213310722560 its reverse (652270133124), we get a palindrome (4865580855684).

The spelling of 4213310722560 in words is "four trillion, two hundred thirteen billion, three hundred ten million, seven hundred twenty-two thousand, five hundred sixty".