4140920 has 64 divisors (see below), whose sum is σ = 11128320. Its totient is φ = 1355904.

The previous prime is 4140893. The next prime is 4140923. The reversal of 4140920 is 290414.

4140920 = T₂₁₄ + T₂₁₅ + ... + T₃₂₅.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4140892 and 4140901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6119 + ... + 6761.

It is an arithmetic number, because the mean of its divisors is an integer number (173880).

Almost surely, 2^4140920 is an apocalyptic number.

4140920 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 4140920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564160).

4140920 is an abundant number, since it is smaller than the sum of its proper divisors (6987400).

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

4140920 is a wasteful number, since it uses less digits than its factorization.

4140920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 4140920 is about 2034.9250600452. The cubic root of 4140920 is about 160.5827706212.

4140920 divided by its sum of digits (20) gives a triangular number (207046 = T₆₄₃).

The spelling of 4140920 in words is "four million, one hundred forty thousand, nine hundred twenty".