4140164028 has 144 divisors (see below), whose sum is σ = 13042342656. Its totient is φ = 992609280.

The previous prime is 4140164009. The next prime is 4140164029. The reversal of 4140164028 is 8204610414.

It is a junction number, because it is equal to n+sod(n) for n = 4140163986 and 4140164004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140164029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142900 + ... + 169412.

It is an arithmetic number, because the mean of its divisors is an integer number (90571824).

Almost surely, 2^4140164028 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 4140164028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6521171328).

4140164028 is an abundant number, since it is smaller than the sum of its proper divisors (8902178628).

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

4140164028 is a wasteful number, since it uses less digits than its factorization.

4140164028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26564 (or 26549 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4140164028 is about 64344.1063967789. The cubic root of 4140164028 is about 1605.7299795669.

The spelling of 4140164028 in words is "four billion, one hundred forty million, one hundred sixty-four thousand, twenty-eight".