1413300224000 has 288 divisors, whose sum is σ = 4031851614336. Its totient is φ = 484520755200.

The previous prime is 1413300223999. The next prime is 1413300224003. The reversal of 1413300224000 is 4220033141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413300224003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114681839 + ... + 114694161.

It is an arithmetic number, because the mean of its divisors is an integer number (13999484772).

Almost surely, 2^{1413300224000} is an apocalyptic number.

1413300224000 is a gapful number since it is divisible by the number (10) 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 1413300224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015925807168).

1413300224000 is an abundant number, since it is smaller than the sum of its proper divisors (2618551390336).

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

1413300224000 is an frugal number, since it uses more digits than its factorization.

1413300224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12379 (or 12337 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1413300224000 its reverse (4220033141), we get a palindrome (1417520257141).

The spelling of 1413300224000 in words is "one trillion, four hundred thirteen billion, three hundred million, two hundred twenty-four thousand".