13414133404240 has 40 divisors (see below), whose sum is σ = 31217591399400. Its totient is φ = 5360538310656.

The previous prime is 13414133404223. The next prime is 13414133404261. The reversal of 13414133404240 is 4240433141431.

It can be written as a sum of positive squares in 4 ways, for example, as 4384132444224 + 9030000960016 = 2093832^2 + 3004996^2 .

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

It is a super-2 number, since 2×13414133404240² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13414133404196 and 13414133404205.

It is a congruent number.

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, 79838229 + ... + 80006068.

It is an arithmetic number, because the mean of its divisors is an integer number (780439784985).

Almost surely, 2^{13414133404240} is an apocalyptic number.

13414133404240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13414133404240 is an abundant number, since it is smaller than the sum of its proper divisors (17803457995160).

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

13414133404240 is a wasteful number, since it uses less digits than its factorization.

13414133404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159845359 (or 159845353 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 13414133404240 its reverse (4240433141431), we get a palindrome (17654566545671).

The spelling of 13414133404240 in words is "thirteen trillion, four hundred fourteen billion, one hundred thirty-three million, four hundred four thousand, two hundred forty".