131414043201440 has 48 divisors (see below), whose sum is σ = 311611306970880. Its totient is φ = 52371648195840.

The previous prime is 131414043201439. The next prime is 131414043201461. The reversal of 131414043201440 is 44102340414131.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 131414043201397 and 131414043201406.

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, 1515339980 + ... + 1515426699.

It is an arithmetic number, because the mean of its divisors is an integer number (6491902228560).

Almost surely, 2^{131414043201440} is an apocalyptic number.

131414043201440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131414043201440 is an abundant number, since it is smaller than the sum of its proper divisors (180197263769440).

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

131414043201440 is a wasteful number, since it uses less digits than its factorization.

131414043201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030766965 (or 3030766957 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 131414043201440 its reverse (44102340414131), we get a palindrome (175516383615571).

The spelling of 131414043201440 in words is "one hundred thirty-one trillion, four hundred fourteen billion, forty-three million, two hundred one thousand, four hundred forty".