4198538736 has 360 divisors, whose sum is σ = 14190564960. Its totient is φ = 1154829312.

The previous prime is 4198538693. The next prime is 4198538741. The reversal of 4198538736 is 6378358914.

4198538736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38518650 + ... + 38518758.

It is an arithmetic number, because the mean of its divisors is an integer number (39418236).

Almost surely, 2^4198538736 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 4198538736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7095282480).

4198538736 is an abundant number, since it is smaller than the sum of its proper divisors (9992026224).

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

4198538736 is a wasteful number, since it uses less digits than its factorization.

4198538736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 277 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 4198538736 is about 64796.1321067855. The cubic root of 4198538736 is about 1613.2415096219.

The spelling of 4198538736 in words is "four billion, one hundred ninety-eight million, five hundred thirty-eight thousand, seven hundred thirty-six".