4635101406 has 64 divisors (see below), whose sum is σ = 10154382336. Its totient is φ = 1401840000.

The previous prime is 4635101377. The next prime is 4635101417. The reversal of 4635101406 is 6041015364.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3924136 + ... + 3925316.

It is an arithmetic number, because the mean of its divisors is an integer number (158662224).

Almost surely, 2^4635101406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4635101406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5077191168).

4635101406 is an abundant number, since it is smaller than the sum of its proper divisors (5519280930).

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

4635101406 is a wasteful number, since it uses less digits than its factorization.

4635101406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4635101406 is about 68081.5790504304. The cubic root of 4635101406 is about 1667.3230213163.

The spelling of 4635101406 in words is "four billion, six hundred thirty-five million, one hundred one thousand, four hundred six".