130895848873440 has 1440 divisors, whose sum is σ = 552470780983968. Its totient is φ = 29083815936000.

The previous prime is 130895848873417. The next prime is 130895848873451. The reversal of 130895848873440 is 44378848598031.

It is a happy number.

130895848873440 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 9 + 584 + 8 + 8 + 7 + 34 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7316286895 + ... + 7316304785.

Almost surely, 2^{130895848873440} is an apocalyptic number.

130895848873440 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 130895848873440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276235390491984).

130895848873440 is an abundant number, since it is smaller than the sum of its proper divisors (421574932110528).

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

130895848873440 is a wasteful number, since it uses less digits than its factorization.

130895848873440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18254 (or 18230 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 130895848873440 in words is "one hundred thirty trillion, eight hundred ninety-five billion, eight hundred forty-eight million, eight hundred seventy-three thousand, four hundred forty".