4223665342400 has 168 divisors, whose sum is σ = 11963004735360. Its totient is φ = 1437695216640.

The previous prime is 4223665342399. The next prime is 4223665342427. The reversal of 4223665342400 is 42435663224.

It is a super-3 number, since 3×4223665342400³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200279 + ... + 2913321.

It is an arithmetic number, because the mean of its divisors is an integer number (71208361520).

Almost surely, 2^{4223665342400} is an apocalyptic number.

4223665342400 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 4223665342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5981502367680).

4223665342400 is an abundant number, since it is smaller than the sum of its proper divisors (7739339392960).

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

4223665342400 is a wasteful number, since it uses less digits than its factorization.

4223665342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713211 (or 2713196 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 41.

The spelling of 4223665342400 in words is "four trillion, two hundred twenty-three billion, six hundred sixty-five million, three hundred forty-two thousand, four hundred".