4166326000 has 160 divisors (see below), whose sum is σ = 10729188288. Its totient is φ = 1559347200.

The previous prime is 4166325997. The next prime is 4166326009. The reversal of 4166326000 is 6236614.

4166326000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4166326000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4166326009) 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, 9621784 + ... + 9622216.

Almost surely, 2^4166326000 is an apocalyptic number.

4166326000 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 4166326000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5364594144).

4166326000 is an abundant number, since it is smaller than the sum of its proper divisors (6562862288).

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

4166326000 is a wasteful number, since it uses less digits than its factorization.

4166326000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 4166326000 is about 64547.0835901979. The cubic root of 4166326000 is about 1609.1051184741.

The spelling of 4166326000 in words is "four billion, one hundred sixty-six million, three hundred twenty-six thousand".