4910971135680 has 1792 divisors, whose sum is σ = 19668243640320. Its totient is φ = 1161428336640.

The previous prime is 4910971135621. The next prime is 4910971135711. The reversal of 4910971135680 is 865311790194.

4910971135680 is a `hidden beast` number, since 4 + 9 + 1 + 0 + 9 + 71 + 1 + 3 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 35846504572 + ... + 35846504708.

Almost surely, 2^{4910971135680} is an apocalyptic number.

4910971135680 is a gapful number since it is divisible by the number (40) 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 4910971135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9834121820160).

4910971135680 is an abundant number, since it is smaller than the sum of its proper divisors (14757272504640).

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

4910971135680 is a wasteful number, since it uses less digits than its factorization.

4910971135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 4910971135680 in words is "four trillion, nine hundred ten billion, nine hundred seventy-one million, one hundred thirty-five thousand, six hundred eighty".