4157940 has 72 divisors (see below), whose sum is σ = 12263328. Its totient is φ = 1052480.

The previous prime is 4157929. The next prime is 4157947. The reversal of 4157940 is 497514.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4157898 and 4157907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4157947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31675 + ... + 31805.

It is an arithmetic number, because the mean of its divisors is an integer number (170324).

Almost surely, 2^4157940 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 4157940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6131664).

4157940 is an abundant number, since it is smaller than the sum of its proper divisors (8105388).

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

4157940 is a wasteful number, since it uses less digits than its factorization.

4157940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 4157940 is about 2039.1027438557. The cubic root of 4157940 is about 160.8024788608.

The spelling of 4157940 in words is "four million, one hundred fifty-seven thousand, nine hundred forty".