4941837416880 has 1600 divisors, whose sum is σ = 22507281941760. Its totient is φ = 981003239424.

The previous prime is 4941837416849. The next prime is 4941837416899. The reversal of 4941837416880 is 886147381494.

4941837416880 is a `hidden beast` number, since 4 + 94 + 18 + 374 + 168 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1694149182 + ... + 1694152098.

Almost surely, 2^{4941837416880} is an apocalyptic number.

4941837416880 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 4941837416880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11253640970880).

4941837416880 is an abundant number, since it is smaller than the sum of its proper divisors (17565444524880).

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

4941837416880 is a wasteful number, since it uses less digits than its factorization.

4941837416880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3005 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 4941837416880 in words is "four trillion, nine hundred forty-one billion, eight hundred thirty-seven million, four hundred sixteen thousand, eight hundred eighty".