4672406101 has 16 divisors (see below), whose sum is σ = 5219679168. Its totient is φ = 4145702400.

The previous prime is 4672406059. The next prime is 4672406107. The reversal of 4672406101 is 1016042764.

It is a cyclic number.

It is not a de Polignac number, because 4672406101 - 2¹³ = 4672397909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4672406107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 799771 + ... + 805591.

It is an arithmetic number, because the mean of its divisors is an integer number (326229948).

Almost surely, 2^4672406101 is an apocalyptic number.

It is an amenable number.

4672406101 is a deficient number, since it is larger than the sum of its proper divisors (547273067).

4672406101 is a wasteful number, since it uses less digits than its factorization.

4672406101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7572.

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 4672406101 is about 68355.0005559213. Note that the first 3 decimals coincide. The cubic root of 4672406101 is about 1671.7841141876.

Adding to 4672406101 its reverse (1016042764), we get a palindrome (5688448865).

The spelling of 4672406101 in words is "four billion, six hundred seventy-two million, four hundred six thousand, one hundred one".