1334133240000 has 560 divisors, whose sum is σ = 4860080476416. Its totient is φ = 320192000000.

The previous prime is 1334133239969. The next prime is 1334133240029. The reversal of 1334133240000 is 423314331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 133314997 + ... + 133325003.

Almost surely, 2^{1334133240000} is an apocalyptic number.

1334133240000 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 1334133240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430040238208).

1334133240000 is an abundant number, since it is smaller than the sum of its proper divisors (3525947236416).

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

1334133240000 is a wasteful number, since it uses less digits than its factorization.

1334133240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10154 (or 10129 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1334133240000 its reverse (423314331), we get a palindrome (1334556554331).

The spelling of 1334133240000 in words is "one trillion, three hundred thirty-four billion, one hundred thirty-three million, two hundred forty thousand".