1434344224140 has 288 divisors, whose sum is σ = 4580476205760. Its totient is φ = 362786457600.

The previous prime is 1434344224109. The next prime is 1434344224223. The reversal of 1434344224140 is 414224434341.

1434344224140 is a `hidden beast` number, since 1 + 4 + 34 + 344 + 2 + 241 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1434344224095 and 1434344224104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299630827 + ... + 299635613.

It is an arithmetic number, because the mean of its divisors is an integer number (15904431270).

Almost surely, 2^{1434344224140} is an apocalyptic number.

1434344224140 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 1434344224140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290238102880).

1434344224140 is an abundant number, since it is smaller than the sum of its proper divisors (3146131981620).

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

1434344224140 is a wasteful number, since it uses less digits than its factorization.

1434344224140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5833 (or 5828 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 1434344224140 its reverse (414224434341), we get a palindrome (1848568658481).

The spelling of 1434344224140 in words is "one trillion, four hundred thirty-four billion, three hundred forty-four million, two hundred twenty-four thousand, one hundred forty".