4162726000 has 160 divisors (see below), whose sum is σ = 10360104768. Its totient is φ = 1617075200.

The previous prime is 4162725989. The next prime is 4162726003. The reversal of 4162726000 is 6272614.

It is a self number, because there is not a number n which added to its sum of digits gives 4162726000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4162726003) 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, 18337887 + ... + 18338113.

Almost surely, 2^4162726000 is an apocalyptic number.

4162726000 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 4162726000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5180052384).

4162726000 is an abundant number, since it is smaller than the sum of its proper divisors (6197378768).

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

4162726000 is a wasteful number, since it uses less digits than its factorization.

4162726000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 4162726000 is about 64519.1909434705. The cubic root of 4162726000 is about 1608.6415247559.

Adding to 4162726000 its reverse (6272614), we get a palindrome (4168998614).

The spelling of 4162726000 in words is "four billion, one hundred sixty-two million, seven hundred twenty-six thousand".