13401240068340 has 36 divisors (see below), whose sum is σ = 40650428207844. Its totient is φ = 3573664018176.

The previous prime is 13401240068327. The next prime is 13401240068393. The reversal of 13401240068340 is 4386004210431.

13401240068340 is a `hidden beast` number, since 1 + 3 + 401 + 240 + 0 + 6 + 8 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9957647269476 + 3443592798864 = 3155574^2 + 1855692^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 13401240068295 and 13401240068304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37225666677 + ... + 37225667036.

It is an arithmetic number, because the mean of its divisors is an integer number (1129178561329).

Almost surely, 2^{13401240068340} is an apocalyptic number.

13401240068340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13401240068340 is an abundant number, since it is smaller than the sum of its proper divisors (27249188139504).

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

13401240068340 is a wasteful number, since it uses less digits than its factorization.

13401240068340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74451333728 (or 74451333723 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 13401240068340 its reverse (4386004210431), we get a palindrome (17787244278771).

The spelling of 13401240068340 in words is "thirteen trillion, four hundred one billion, two hundred forty million, sixty-eight thousand, three hundred forty".