1434424002000 has 640 divisors, whose sum is σ = 5228607062016. Its totient is φ = 335174400000.

The previous prime is 1434424001909. The next prime is 1434424002001. The reversal of 1434424002000 is 2004244341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434424002001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 566740735 + ... + 566743265.

Almost surely, 2^{1434424002000} is an apocalyptic number.

1434424002000 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 1434424002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614303531008).

1434424002000 is an abundant number, since it is smaller than the sum of its proper divisors (3794183060016).

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

1434424002000 is a wasteful number, since it uses less digits than its factorization.

1434424002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 1434424002000 its reverse (2004244341), we get a palindrome (1436428246341).

The spelling of 1434424002000 in words is "one trillion, four hundred thirty-four billion, four hundred twenty-four million, two thousand".