4991461301700 has 576 divisors, whose sum is σ = 16772366499840. Its totient is φ = 1272039552000.

The previous prime is 4991461301693. The next prime is 4991461301779. The reversal of 4991461301700 is 71031641994.

It is a happy number.

4991461301700 is a `hidden beast` number, since 4 + 9 + 9 + 14 + 613 + 0 + 17 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 2419514869 + ... + 2419516931.

It is an arithmetic number, because the mean of its divisors is an integer number (29118691840).

Almost surely, 2^{4991461301700} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4991461301700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8386183249920).

4991461301700 is an abundant number, since it is smaller than the sum of its proper divisors (11780905198140).

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

4991461301700 is a wasteful number, since it uses less digits than its factorization.

4991461301700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 4991461301700 in words is "four trillion, nine hundred ninety-one billion, four hundred sixty-one million, three hundred one thousand, seven hundred".