1414200424000 has 448 divisors, whose sum is σ = 4348881718272. Its totient is φ = 443584512000.

The previous prime is 1414200423971. The next prime is 1414200424037. The reversal of 1414200424000 is 4240024141.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82255405 + ... + 82272595.

It is an arithmetic number, because the mean of its divisors is an integer number (9707325264).

Almost surely, 2^{1414200424000} is an apocalyptic number.

1414200424000 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 1414200424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174440859136).

1414200424000 is an abundant number, since it is smaller than the sum of its proper divisors (2934681294272).

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

1414200424000 is a wasteful number, since it uses less digits than its factorization.

1414200424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17351 (or 17331 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 1414200424000 its reverse (4240024141), we get a palindrome (1418440448141).

The spelling of 1414200424000 in words is "one trillion, four hundred fourteen billion, two hundred million, four hundred twenty-four thousand".