1334556664320 has 960 divisors, whose sum is σ = 4836211712640. Its totient is φ = 313589760000.

The previous prime is 1334556664297. The next prime is 1334556664373. The reversal of 1334556664320 is 234666554331.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1334556664320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1334556664320.

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 95 ways as a sum of consecutive naturals, for example, 5537579400 + ... + 5537579640.

It is an arithmetic number, because the mean of its divisors is an integer number (5037720534).

Almost surely, 2^{1334556664320} is an apocalyptic number.

1334556664320 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 1334556664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418105856320).

1334556664320 is an abundant number, since it is smaller than the sum of its proper divisors (3501655048320).

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

1334556664320 is a wasteful number, since it uses less digits than its factorization.

1334556664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

It can be divided in two parts, 13345 and 56664320, that added together give a palindrome (56677665).

The spelling of 1334556664320 in words is "one trillion, three hundred thirty-four billion, five hundred fifty-six million, six hundred sixty-four thousand, three hundred twenty".