4098221680 has 160 divisors (see below), whose sum is σ = 11079005184. Its totient is φ = 1380907008.

The previous prime is 4098221653. The next prime is 4098221689. The reversal of 4098221680 is 861228904.

4098221680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4098221689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13093204 + ... + 13093516.

Almost surely, 2^4098221680 is an apocalyptic number.

4098221680 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 4098221680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5539502592).

4098221680 is an abundant number, since it is smaller than the sum of its proper divisors (6980783504).

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

4098221680 is a wasteful number, since it uses less digits than its factorization.

4098221680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 4098221680 is about 64017.3545220357. The cubic root of 4098221680 is about 1600.2892289635.

The spelling of 4098221680 in words is "four billion, ninety-eight million, two hundred twenty-one thousand, six hundred eighty".