13330340401040 has 40 divisors (see below), whose sum is σ = 33377121545208. Its totient is φ = 4921971840000.

The previous prime is 13330340401039. The next prime is 13330340401093. The reversal of 13330340401040 is 4010404303331.

It is a happy number.

13330340401040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1472951177104 + 11857389223936 = 1213652^2 + 3443456^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6408816461 + ... + 6408818540.

Almost surely, 2^{13330340401040} is an apocalyptic number.

13330340401040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13330340401040 is an abundant number, since it is smaller than the sum of its proper divisors (20046781144168).

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

13330340401040 is a wasteful number, since it uses less digits than its factorization.

13330340401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12817635027 (or 12817635021 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 13330340401040 its reverse (4010404303331), we get a palindrome (17340744704371).

The spelling of 13330340401040 in words is "thirteen trillion, three hundred thirty billion, three hundred forty million, four hundred one thousand, forty".