1334313942192 has 1200 divisors, whose sum is σ = 5066671712256. Its totient is φ = 331469107200.

The previous prime is 1334313942187. The next prime is 1334313942209. The reversal of 1334313942192 is 2912493134331.

1334313942192 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 3 + 139 + 421 + 92 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3845284963 + ... + 3845285309.

Almost surely, 2^{1334313942192} is an apocalyptic number.

1334313942192 is a gapful number since it is divisible by the number (12) 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 1334313942192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533335856128).

1334313942192 is an abundant number, since it is smaller than the sum of its proper divisors (3732357770064).

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

1334313942192 is a wasteful number, since it uses less digits than its factorization.

1334313942192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 514 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The spelling of 1334313942192 in words is "one trillion, three hundred thirty-four billion, three hundred thirteen million, nine hundred forty-two thousand, one hundred ninety-two".