1334140133328 has 30 divisors (see below), whose sum is σ = 3733739401314. Its totient is φ = 444713377728.

The previous prime is 1334140133311. The next prime is 1334140133429. The reversal of 1334140133328 is 8233310414331.

It can be written as a sum of positive squares in only one way, i.e., 1060916480064 + 273223653264 = 1030008^2 + 522708^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1334140133292 and 1334140133301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4632430875 + ... + 4632431162.

Almost surely, 2^{1334140133328} is an apocalyptic number.

1334140133328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1334140133328 is an abundant number, since it is smaller than the sum of its proper divisors (2399599267986).

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

1334140133328 is a wasteful number, since it uses less digits than its factorization.

1334140133328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9264862051 (or 9264862042 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 1334140133328 its reverse (8233310414331), we get a palindrome (9567450547659).

The spelling of 1334140133328 in words is "one trillion, three hundred thirty-four billion, one hundred forty million, one hundred thirty-three thousand, three hundred twenty-eight".