4681104407680 has 64 divisors (see below), whose sum is σ = 11194977931200. Its totient is φ = 1871736892416.

The previous prime is 4681104407677. The next prime is 4681104407767. The reversal of 4681104407680 is 867044011864.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4681104407680² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326389 + ... + 3077131.

It is an arithmetic number, because the mean of its divisors is an integer number (174921530175).

Almost surely, 2^{4681104407680} is an apocalyptic number.

4681104407680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4681104407680 is an abundant number, since it is smaller than the sum of its proper divisors (6513873523520).

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

4681104407680 is a wasteful number, since it uses less digits than its factorization.

4681104407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753421 (or 2753409 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

The spelling of 4681104407680 in words is "four trillion, six hundred eighty-one billion, one hundred four million, four hundred seven thousand, six hundred eighty".