4097376595080 has 192 divisors, whose sum is σ = 13739476608000. Its totient is φ = 1058447789568.

The previous prime is 4097376595049. The next prime is 4097376595087. The reversal of 4097376595080 is 805956737904.

4097376595080 is a `hidden beast` number, since 4 + 0 + 9 + 7 + 3 + 76 + 59 + 508 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4097376594999 and 4097376595017.

It is not an unprimeable number, because it can be changed into a prime (4097376595087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148161 + ... + 2866479.

It is an arithmetic number, because the mean of its divisors is an integer number (71559774000).

Almost surely, 2^{4097376595080} is an apocalyptic number.

4097376595080 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 4097376595080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6869738304000).

4097376595080 is an abundant number, since it is smaller than the sum of its proper divisors (9642100012920).

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

4097376595080 is a wasteful number, since it uses less digits than its factorization.

4097376595080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718468 (or 2718461 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 4097376595080 in words is "four trillion, ninety-seven billion, three hundred seventy-six million, five hundred ninety-five thousand, eighty".