4560850022400 has 780 divisors, whose sum is σ = 19308221906512. Its totient is φ = 1042466734080.

The previous prime is 4560850022387. The next prime is 4560850022447. The reversal of 4560850022400 is 42200580654.

It is a happy number.

4560850022400 is a `hidden beast` number, since 4 + 5 + 608 + 5 + 0 + 0 + 2 + 2 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 58021524 + ... + 58100076.

Almost surely, 2^{4560850022400} is an apocalyptic number.

4560850022400 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 4560850022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9654110953256).

4560850022400 is an abundant number, since it is smaller than the sum of its proper divisors (14747371884112).

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

4560850022400 is an equidigital number, since it uses as much as digits as its factorization.

4560850022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78606 (or 78570 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 4560850022400 in words is "four trillion, five hundred sixty billion, eight hundred fifty million, twenty-two thousand, four hundred".