4284403200000 has 3744 divisors, whose sum is σ = 21008570365440. Its totient is φ = 851558400000.

The previous prime is 4284403199987. The next prime is 4284403200041. The reversal of 4284403200000 is 23044824.

It is a happy number.

It is a super-2 number, since 2×4284403200000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 186278399989 + ... + 186278400011.

Almost surely, 2^{4284403200000} is an apocalyptic number.

4284403200000 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 4284403200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10504285182720).

4284403200000 is an abundant number, since it is smaller than the sum of its proper divisors (16724167165440).

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

4284403200000 is an equidigital number, since it uses as much as digits as its factorization.

4284403200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4284403200000 its reverse (23044824), we get a palindrome (4284426244824).

The spelling of 4284403200000 in words is "four trillion, two hundred eighty-four billion, four hundred three million, two hundred thousand".