4166964100 has 144 divisors (see below), whose sum is σ = 10395306880. Its totient is φ = 1437004800.

The previous prime is 4166964097. The next prime is 4166964167. The reversal of 4166964100 is 14696614.

It is a self number, because there is not a number n which added to its sum of digits gives 4166964100.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1801945 + ... + 1804255.

Almost surely, 2^4166964100 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 4166964100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197653440).

4166964100 is an abundant number, since it is smaller than the sum of its proper divisors (6228342780).

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

4166964100 is a wasteful number, since it uses less digits than its factorization.

4166964100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 4166964100 is about 64552.0263043694. The cubic root of 4166964100 is about 1609.1872625951.

The spelling of 4166964100 in words is "four billion, one hundred sixty-six million, nine hundred sixty-four thousand, one hundred".