971241606720 has 1008 divisors, whose sum is σ = 4396564605888. Its totient is φ = 201807728640.

The previous prime is 971241606701. The next prime is 971241606737. The reversal of 971241606720 is 27606142179.

971241606720 is a `hidden beast` number, since 9 + 7 + 12 + 4 + 1 + 606 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41901054 + ... + 41924226.

It is an arithmetic number, because the mean of its divisors is an integer number (4361671236).

Almost surely, 2^971241606720 is an apocalyptic number.

971241606720 is a gapful number since it is divisible by the number (90) 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 971241606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198282302944).

971241606720 is an abundant number, since it is smaller than the sum of its proper divisors (3425322999168).

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

971241606720 is a wasteful number, since it uses less digits than its factorization.

971241606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23230 (or 23201 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

Adding to 971241606720 its reverse (27606142179), we get a palindrome (998847748899).

The spelling of 971241606720 in words is "nine hundred seventy-one billion, two hundred forty-one million, six hundred six thousand, seven hundred twenty".