4941655879680 has 1560 divisors, whose sum is σ = 19791979221168. Its totient is φ = 1171843448832.

The previous prime is 4941655879669. The next prime is 4941655879691. The reversal of 4941655879680 is 869785561494.

4941655879680 is a `hidden beast` number, since 4 + 9 + 4 + 1 + 6 + 558 + 7 + 9 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4941655879669) and next prime (4941655879691).

It is a tau number, because it is divible by the number of its divisors (1560).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4941655879599 and 4941655879608.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 67693916124 + ... + 67693916196.

Almost surely, 2^{4941655879680} is an apocalyptic number.

4941655879680 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 4941655879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9895989610584).

4941655879680 is an abundant number, since it is smaller than the sum of its proper divisors (14850323341488).

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

4941655879680 is an equidigital number, since it uses as much as digits as its factorization.

4941655879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 4941655879680 in words is "four trillion, nine hundred forty-one billion, six hundred fifty-five million, eight hundred seventy-nine thousand, six hundred eighty".