4097448614560 has 384 divisors, whose sum is σ = 12031854428160. Its totient is φ = 1286809804800.

The previous prime is 4097448614551. The next prime is 4097448614563. The reversal of 4097448614560 is 654168447904.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4097448614495 and 4097448614504.

It is not an unprimeable number, because it can be changed into a prime (4097448614563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1009968052 + ... + 1009972108.

It is an arithmetic number, because the mean of its divisors is an integer number (31332954240).

Almost surely, 2^{4097448614560} is an apocalyptic number.

4097448614560 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 4097448614560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6015927214080).

4097448614560 is an abundant number, since it is smaller than the sum of its proper divisors (7934405813600).

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

4097448614560 is a wasteful number, since it uses less digits than its factorization.

4097448614560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5660 (or 5652 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 58.

The spelling of 4097448614560 in words is "four trillion, ninety-seven billion, four hundred forty-eight million, six hundred fourteen thousand, five hundred sixty".