4211123634 has 64 divisors (see below), whose sum is σ = 9862128000. Its totient is φ = 1328270400.

The previous prime is 4211123633. The next prime is 4211123647. The reversal of 4211123634 is 4363211124.

It is a happy number.

4211123634 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 1 + 23 + 634 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4211123598 and 4211123607.

It is not an unprimeable number, because it can be changed into a prime (4211123633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1135984 + ... + 1139684.

It is an arithmetic number, because the mean of its divisors is an integer number (154095750).

Almost surely, 2^4211123634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4211123634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4931064000).

4211123634 is an abundant number, since it is smaller than the sum of its proper divisors (5651004366).

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

4211123634 is a wasteful number, since it uses less digits than its factorization.

4211123634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840 (or 4834 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 4211123634 is about 64893.1709350067. The cubic root of 4211123634 is about 1614.8517705271.

Adding to 4211123634 its reverse (4363211124), we get a palindrome (8574334758).

The spelling of 4211123634 in words is "four billion, two hundred eleven million, one hundred twenty-three thousand, six hundred thirty-four".