131201404000440 has 64 divisors (see below), whose sum is σ = 393606925668000. Its totient is φ = 34986799852032.

The previous prime is 131201404000427. The next prime is 131201404000441. The reversal of 131201404000440 is 44000404102131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131201404000440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201404000441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14058874 + ... + 21448886.

Almost surely, 2^{131201404000440} is an apocalyptic number.

131201404000440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201404000440 is an abundant number, since it is smaller than the sum of its proper divisors (262405521667560).

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

131201404000440 is a wasteful number, since it uses less digits than its factorization.

131201404000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7537976 (or 7537972 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 131201404000440 its reverse (44000404102131), we get a palindrome (175201808102571).

The spelling of 131201404000440 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred four million, four hundred forty", and thus it is an aban number.