4426564253200 has 120 divisors (see below), whose sum is σ = 10668336968448. Its totient is φ = 1765054410240.

The previous prime is 4426564253173. The next prime is 4426564253207. The reversal of 4426564253200 is 23524656244.

It is not an unprimeable number, because it can be changed into a prime (4426564253207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165819054 + ... + 165845746.

Almost surely, 2^{4426564253200} is an apocalyptic number.

4426564253200 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 4426564253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334168484224).

4426564253200 is an abundant number, since it is smaller than the sum of its proper divisors (6241772715248).

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

4426564253200 is a wasteful number, since it uses less digits than its factorization.

4426564253200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28001 (or 27990 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 43.

It can be divided in two parts, 4426564 and 253200, that added together give a palindrome (4679764).

The spelling of 4426564253200 in words is "four trillion, four hundred twenty-six billion, five hundred sixty-four million, two hundred fifty-three thousand, two hundred".