4201211664 has 160 divisors (see below), whose sum is σ = 13144575360. Its totient is φ = 1276964352.

The previous prime is 4201211659. The next prime is 4201211681. The reversal of 4201211664 is 4661121024.

4201211664 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461622 + ... + 470634.

It is an arithmetic number, because the mean of its divisors is an integer number (82153596).

Almost surely, 2^4201211664 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 4201211664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6572287680).

4201211664 is an abundant number, since it is smaller than the sum of its proper divisors (8943363696).

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

4201211664 is a wasteful number, since it uses less digits than its factorization.

4201211664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9126 (or 9114 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4201211664 is about 64816.7545006690. The cubic root of 4201211664 is about 1613.5837845518.

Adding to 4201211664 its reverse (4661121024), we get a palindrome (8862332688).

The spelling of 4201211664 in words is "four billion, two hundred one million, two hundred eleven thousand, six hundred sixty-four".