4204394064 has 240 divisors, whose sum is σ = 13164771984. Its totient is φ = 1244160000.

The previous prime is 4204394063. The next prime is 4204394137. The reversal of 4204394064 is 4604934024.

4204394064 is a `hidden beast` number, since 4 + 204 + 394 + 0 + 64 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1011240000 + 3193154064 = 31800^2 + 56508^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4204394063) 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, 6995364 + ... + 6995964.

Almost surely, 2^4204394064 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 4204394064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6582385992).

4204394064 is an abundant number, since it is smaller than the sum of its proper divisors (8960377920).

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

4204394064 is a wasteful number, since it uses less digits than its factorization.

4204394064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4204394064 is about 64841.2990616320. The cubic root of 4204394064 is about 1613.9911093424.

The spelling of 4204394064 in words is "four billion, two hundred four million, three hundred ninety-four thousand, sixty-four".