10471131740160 has 2304 divisors, whose sum is σ = 46806024545280. Its totient is φ = 2186218045440.

The previous prime is 10471131740071. The next prime is 10471131740183. The reversal of 10471131740160 is 6104713117401.

10471131740160 is a `hidden beast` number, since 1 + 0 + 471 + 1 + 3 + 174 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29663262544 + ... + 29663262896.

It is an arithmetic number, because the mean of its divisors is an integer number (20315114820).

Almost surely, 2^{10471131740160} is an apocalyptic number.

10471131740160 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 10471131740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23403012272640).

10471131740160 is an abundant number, since it is smaller than the sum of its proper divisors (36334892805120).

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

10471131740160 is a wasteful number, since it uses less digits than its factorization.

10471131740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Adding to 10471131740160 its reverse (6104713117401), we get a palindrome (16575844857561).

The spelling of 10471131740160 in words is "ten trillion, four hundred seventy-one billion, one hundred thirty-one million, seven hundred forty thousand, one hundred sixty".