131414401240344 has 24 divisors (see below), whose sum is σ = 355914003359460. Its totient is φ = 43804800413424.

The previous prime is 131414401240303. The next prime is 131414401240361. The reversal of 131414401240344 is 443042104414131.

131414401240344 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 4 + 401 + 240 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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 = 131414401240299 and 131414401240308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 912600008542 + ... + 912600008685.

Almost surely, 2^{131414401240344} is an apocalyptic number.

It is an amenable number.

131414401240344 is an abundant number, since it is smaller than the sum of its proper divisors (224499602119116).

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

131414401240344 is a wasteful number, since it uses less digits than its factorization.

131414401240344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825200017239 (or 1825200017232 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 131414401240344 its reverse (443042104414131), we get a palindrome (574456505654475).

The spelling of 131414401240344 in words is "one hundred thirty-one trillion, four hundred fourteen billion, four hundred one million, two hundred forty thousand, three hundred forty-four".