1334442033344 has 56 divisors (see below), whose sum is σ = 3029171943168. Its totient is φ = 571365515520.

The previous prime is 1334442033299. The next prime is 1334442033359. The reversal of 1334442033344 is 4433302444331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 1334442033298 and 1334442033307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 924842 + ... + 1877289.

It is an arithmetic number, because the mean of its divisors is an integer number (54092356128).

Almost surely, 2^{1334442033344} is an apocalyptic number.

1334442033344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1334442033344 is an abundant number, since it is smaller than the sum of its proper divisors (1694729909824).

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

1334442033344 is a wasteful number, since it uses less digits than its factorization.

1334442033344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803213 (or 2803203 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 38.

Adding to 1334442033344 its reverse (4433302444331), we get a palindrome (5767744477675).

The spelling of 1334442033344 in words is "one trillion, three hundred thirty-four billion, four hundred forty-two million, thirty-three thousand, three hundred forty-four".