1434130320224 has 96 divisors (see below), whose sum is σ = 3417933879360. Its totient is φ = 578247671808.

The previous prime is 1434130320167. The next prime is 1434130320263. The reversal of 1434130320224 is 4220230314341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9893582 + ... + 10037490.

It is an arithmetic number, because the mean of its divisors is an integer number (35603477910).

Almost surely, 2^{1434130320224} is an apocalyptic number.

1434130320224 is a gapful number since it is divisible by the number (14) 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 1434130320224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708966939680).

1434130320224 is an abundant number, since it is smaller than the sum of its proper divisors (1983803559136).

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

1434130320224 is a wasteful number, since it uses less digits than its factorization.

1434130320224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146560 (or 146552 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 1434130320224 its reverse (4220230314341), we get a palindrome (5654360634565).

The spelling of 1434130320224 in words is "one trillion, four hundred thirty-four billion, one hundred thirty million, three hundred twenty thousand, two hundred twenty-four".