4097018880 has 528 divisors, whose sum is σ = 15289616160. Its totient is φ = 1051066368.

The previous prime is 4097018831. The next prime is 4097018881. The reversal of 4097018880 is 888107904.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (4097018881) 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, 46033876 + ... + 46033964.

Almost surely, 2^4097018880 is an apocalyptic number.

4097018880 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 4097018880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7644808080).

4097018880 is an abundant number, since it is smaller than the sum of its proper divisors (11192597280).

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

4097018880 is an equidigital number, since it uses as much as digits as its factorization.

4097018880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 4097018880 is about 64007.9595050491. The cubic root of 4097018880 is about 1600.1326556679.

The spelling of 4097018880 in words is "four billion, ninety-seven million, eighteen thousand, eight hundred eighty".