4198410144 has 108 divisors (see below), whose sum is σ = 12398420034. Its totient is φ = 1399400064.

The previous prime is 4198410143. The next prime is 4198410169. The reversal of 4198410144 is 4410148914.

It can be written as a sum of positive squares in only one way, i.e., 2857971600 + 1340438544 = 53460^2 + 36612^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4198410099 and 4198410108.

It is not an unprimeable number, because it can be changed into a prime (4198410143) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 199954 + ... + 219950.

Almost surely, 2^4198410144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4198410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6199210017).

4198410144 is an abundant number, since it is smaller than the sum of its proper divisors (8200009890).

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

4198410144 is an frugal number, since it uses more digits than its factorization.

4198410144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20031 (or 20002 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4198410144 is about 64795.1398177363. The cubic root of 4198410144 is about 1613.2250394415.

The spelling of 4198410144 in words is "four billion, one hundred ninety-eight million, four hundred ten thousand, one hundred forty-four".