4097459879680 has 144 divisors (see below), whose sum is σ = 10061671302144. Its totient is φ = 1598006497280.

The previous prime is 4097459879677. The next prime is 4097459879741. The reversal of 4097459879680 is 869789547904.

4097459879680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4097459879597 and 4097459879606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15692595 + ... + 15951565.

It is an arithmetic number, because the mean of its divisors is an integer number (69872717376).

Almost surely, 2^{4097459879680} is an apocalyptic number.

4097459879680 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 4097459879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030835651072).

4097459879680 is an abundant number, since it is smaller than the sum of its proper divisors (5964211422464).

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

4097459879680 is a wasteful number, since it uses less digits than its factorization.

4097459879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259302 (or 259288 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 76.

The spelling of 4097459879680 in words is "four trillion, ninety-seven billion, four hundred fifty-nine million, eight hundred seventy-nine thousand, six hundred eighty".