4941770860800 has 1512 divisors, whose sum is σ = 19522121441760. Its totient is φ = 1234405785600.

The previous prime is 4941770860771. The next prime is 4941770860801. The reversal of 4941770860800 is 80680771494.

It is a happy number.

4941770860800 is a `hidden beast` number, since 4 + 9 + 417 + 70 + 86 + 0 + 80 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4941770860801) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 9485164540 + ... + 9485165060.

It is an arithmetic number, because the mean of its divisors is an integer number (12911455980).

Almost surely, 2^{4941770860800} is an apocalyptic number.

4941770860800 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 4941770860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9761060720880).

4941770860800 is an abundant number, since it is smaller than the sum of its proper divisors (14580350580960).

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

4941770860800 is a wasteful number, since it uses less digits than its factorization.

4941770860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 4941770860800 in words is "four trillion, nine hundred forty-one billion, seven hundred seventy million, eight hundred sixty thousand, eight hundred".