4140792 has 72 divisors (see below), whose sum is σ = 11973000. Its totient is φ = 1292544.

The previous prime is 4140769. The next prime is 4140811. The reversal of 4140792 is 2970414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20709 + ... + 20907.

Almost surely, 2^4140792 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 4140792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5986500).

4140792 is an abundant number, since it is smaller than the sum of its proper divisors (7832208).

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

4140792 is a wasteful number, since it uses less digits than its factorization.

4140792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4140792 is about 2034.8936090125. The cubic root of 4140792 is about 160.5811160126.

The spelling of 4140792 in words is "four million, one hundred forty thousand, seven hundred ninety-two".