131641048909440 has 1152 divisors, whose sum is σ = 572915925616320. Its totient is φ = 27660784435200.

The previous prime is 131641048909439. The next prime is 131641048909459. The reversal of 131641048909440 is 44909840146131.

It is a happy number.

131641048909440 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 4 + 104 + 8 + 90 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×131641048909440² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 205998415 + ... + 206636465.

Almost surely, 2^{131641048909440} is an apocalyptic number.

131641048909440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131641048909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286457962808160).

131641048909440 is an abundant number, since it is smaller than the sum of its proper divisors (441274876706880).

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

131641048909440 is a wasteful number, since it uses less digits than its factorization.

131641048909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638150 (or 638128 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 131641048909440 in words is "one hundred thirty-one trillion, six hundred forty-one billion, forty-eight million, nine hundred nine thousand, four hundred forty".