4211726640 has 320 divisors, whose sum is σ = 14741056512. Its totient is φ = 985907200.

The previous prime is 4211726609. The next prime is 4211726641. The reversal of 4211726640 is 466271124.

4211726640 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 (33).

It is not an unprimeable number, because it can be changed into a prime (4211726641) 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, 18075964 + ... + 18076196.

Almost surely, 2^4211726640 is an apocalyptic number.

4211726640 is a gapful number since it is divisible by the number (40) 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 4211726640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370528256).

4211726640 is an abundant number, since it is smaller than the sum of its proper divisors (10529329872).

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

4211726640 is a wasteful number, since it uses less digits than its factorization.

4211726640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 4211726640 is about 64897.8169124355. The cubic root of 4211726640 is about 1614.9288456671.

Adding to 4211726640 its reverse (466271124), we get a palindrome (4677997764).

The spelling of 4211726640 in words is "four billion, two hundred eleven million, seven hundred twenty-six thousand, six hundred forty".