4097921711808 has 112 divisors (see below), whose sum is σ = 11020380255360. Its totient is φ = 1343613241344.

The previous prime is 4097921711803. The next prime is 4097921711813. The reversal of 4097921711808 is 8081171297904.

It is an interprime number because it is at equal distance from previous prime (4097921711803) and next prime (4097921711813).

It is a super-2 number, since 2×4097921711808² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4097921711803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8552908 + ... + 9019316.

It is an arithmetic number, because the mean of its divisors is an integer number (98396252280).

Almost surely, 2^{4097921711808} is an apocalyptic number.

4097921711808 is a gapful number since it is divisible by the number (48) 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 4097921711808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5510190127680).

4097921711808 is an abundant number, since it is smaller than the sum of its proper divisors (6922458543552).

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

4097921711808 is a wasteful number, since it uses less digits than its factorization.

4097921711808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467174 (or 467164 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 57.

The spelling of 4097921711808 in words is "four trillion, ninety-seven billion, nine hundred twenty-one million, seven hundred eleven thousand, eight hundred eight".