4201352064 has 640 divisors, whose sum is σ = 15855026880. Its totient is φ = 1074954240.

The previous prime is 4201352053. The next prime is 4201352087. The reversal of 4201352064 is 4602531024.

4201352064 is a `hidden beast` number, since 420 + 1 + 35 + 206 + 4 = 666.

4201352064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57552732 + ... + 57552804.

Almost surely, 2^4201352064 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 4201352064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7927513440).

4201352064 is an abundant number, since it is smaller than the sum of its proper divisors (11653674816).

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

4201352064 is a wasteful number, since it uses less digits than its factorization.

4201352064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4201352064 is about 64817.8375449228. The cubic root of 4201352064 is about 1613.6017590996.

Adding to 4201352064 its reverse (4602531024), we get a palindrome (8803883088).

The spelling of 4201352064 in words is "four billion, two hundred one million, three hundred fifty-two thousand, sixty-four".