4143896064 has 640 divisors, whose sum is σ = 16263244800. Its totient is φ = 1008599040.

The previous prime is 4143896051. The next prime is 4143896069. The reversal of 4143896064 is 4606983414.

4143896064 is a `hidden beast` number, since 4 + 1 + 4 + 38 + 9 + 606 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4143896069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18095502 + ... + 18095730.

It is an arithmetic number, because the mean of its divisors is an integer number (25411320).

Almost surely, 2^4143896064 is an apocalyptic number.

4143896064 is a gapful number since it is divisible by the number (44) 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 4143896064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8131622400).

4143896064 is an abundant number, since it is smaller than the sum of its proper divisors (12119348736).

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

4143896064 is a wasteful number, since it uses less digits than its factorization.

4143896064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4143896064 is about 64373.1004690624. The cubic root of 4143896064 is about 1606.2123149137.

The spelling of 4143896064 in words is "four billion, one hundred forty-three million, eight hundred ninety-six thousand, sixty-four".