1334422230440 has 192 divisors, whose sum is σ = 3461067308160. Its totient is φ = 460180131840.

The previous prime is 1334422230367. The next prime is 1334422230499. The reversal of 1334422230440 is 440322244331.

It is a junction number, because it is equal to n+sod(n) for n = 1334422230397 and 1334422230406.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19652789 + ... + 19720571.

It is an arithmetic number, because the mean of its divisors is an integer number (18026392230).

Almost surely, 2^{1334422230440} is an apocalyptic number.

1334422230440 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 1334422230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730533654080).

1334422230440 is an abundant number, since it is smaller than the sum of its proper divisors (2126645077720).

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

1334422230440 is a wasteful number, since it uses less digits than its factorization.

1334422230440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67972 (or 67951 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 1334422230440 its reverse (440322244331), we get a palindrome (1774744474771).

The spelling of 1334422230440 in words is "one trillion, three hundred thirty-four billion, four hundred twenty-two million, two hundred thirty thousand, four hundred forty".