13401214334040 has 128 divisors (see below), whose sum is σ = 43297323632640. Its totient is φ = 3298677198336.

The previous prime is 13401214334023. The next prime is 13401214334093. The reversal of 13401214334040 is 4043341210431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13401214333989 and 13401214334007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81323169 + ... + 81487791.

It is an arithmetic number, because the mean of its divisors is an integer number (338260340880).

Almost surely, 2^{13401214334040} is an apocalyptic number.

13401214334040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13401214334040 is an abundant number, since it is smaller than the sum of its proper divisors (29896109298600).

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

13401214334040 is a wasteful number, since it uses less digits than its factorization.

13401214334040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216833 (or 216829 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13401214334040 its reverse (4043341210431), we get a palindrome (17444555544471).

The spelling of 13401214334040 in words is "thirteen trillion, four hundred one billion, two hundred fourteen million, three hundred thirty-four thousand, forty".