4140000 has 180 divisors, whose sum is σ = 15351336. Its totient is φ = 1056000.

The previous prime is 4139999. The next prime is 4140001. The reversal of 4140000 is 414.

It is an interprime number because it is at equal distance from previous prime (4139999) and next prime (4140001).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140001) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 179989 + ... + 180011.

Almost surely, 2^4140000 is an apocalyptic number.

4140000 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 4140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7675668).

4140000 is an abundant number, since it is smaller than the sum of its proper divisors (11211336).

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

4140000 is a wasteful number, since it uses less digits than its factorization.

4140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4140000 is about 2034.6989949376. The cubic root of 4140000 is about 160.5708773631.

Adding to 4140000 its reverse (414), we get a palindrome (4140414).

Multiplying 4140000 by its reverse (414), we get a square (1713960000 = 41400²).

4140000 divided by its reverse (414) gives a 4-th power (10000 = 10⁴).

The spelling of 4140000 in words is "four million, one hundred forty thousand".