4194041904 has 360 divisors, whose sum is σ = 13593415680. Its totient is φ = 1203890688.

The previous prime is 4194041879. The next prime is 4194041909. The reversal of 4194041904 is 4091404914.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4194041909) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33023889 + ... + 33024015.

It is an arithmetic number, because the mean of its divisors is an integer number (37759488).

Almost surely, 2^4194041904 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 4194041904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6796707840).

4194041904 is an abundant number, since it is smaller than the sum of its proper divisors (9399373776).

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

4194041904 is a wasteful number, since it uses less digits than its factorization.

4194041904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4194041904 is about 64761.4229615131. The cubic root of 4194041904 is about 1612.6653514230.

The spelling of 4194041904 in words is "four billion, one hundred ninety-four million, forty-one thousand, nine hundred four".