1334593433640 has 32 divisors (see below), whose sum is σ = 4003780301280. Its totient is φ = 355891582272.

The previous prime is 1334593433639. The next prime is 1334593433669. The reversal of 1334593433640 is 463343954331.

It is a happy number.

It is a super-2 number, since 2×1334593433640² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1334593433640.

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 7 ways as a sum of consecutive naturals, for example, 5560805854 + ... + 5560806093.

It is an arithmetic number, because the mean of its divisors is an integer number (125118134415).

Almost surely, 2^{1334593433640} is an apocalyptic number.

1334593433640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1334593433640 is an abundant number, since it is smaller than the sum of its proper divisors (2669186867640).

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

1334593433640 is a wasteful number, since it uses less digits than its factorization.

1334593433640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11121611961 (or 11121611957 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 48.

The spelling of 1334593433640 in words is "one trillion, three hundred thirty-four billion, five hundred ninety-three million, four hundred thirty-three thousand, six hundred forty".