4223362550400 has 1152 divisors, whose sum is σ = 18911693324160. Its totient is φ = 908535398400.

The previous prime is 4223362550371. The next prime is 4223362550401. The reversal of 4223362550400 is 40552633224.

4223362550400 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 3 + 62 + 550 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (4223362550401) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 92511580 + ... + 92557220.

It is an arithmetic number, because the mean of its divisors is an integer number (16416400455).

Almost surely, 2^{4223362550400} is an apocalyptic number.

4223362550400 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 4223362550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9455846662080).

4223362550400 is an abundant number, since it is smaller than the sum of its proper divisors (14688330773760).

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

4223362550400 is a wasteful number, since it uses less digits than its factorization.

4223362550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45704 (or 45675 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 4223362550400 in words is "four trillion, two hundred twenty-three billion, three hundred sixty-two million, five hundred fifty thousand, four hundred".