1334125384320 has 512 divisors, whose sum is σ = 4519824261120. Its totient is φ = 334172160000.

The previous prime is 1334125384307. The next prime is 1334125384331. The reversal of 1334125384320 is 234835214331.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 514906225 + ... + 514908815.

It is an arithmetic number, because the mean of its divisors is an integer number (8827781760).

Almost surely, 2^{1334125384320} is an apocalyptic number.

1334125384320 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 1334125384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259912130560).

1334125384320 is an abundant number, since it is smaller than the sum of its proper divisors (3185698876800).

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

1334125384320 is a wasteful number, since it uses less digits than its factorization.

1334125384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 1334125384320 in words is "one trillion, three hundred thirty-four billion, one hundred twenty-five million, three hundred eighty-four thousand, three hundred twenty".