4141416 has 32 divisors (see below), whose sum is σ = 10596960. Its totient is φ = 1348032.

The previous prime is 4141409. The next prime is 4141439. The reversal of 4141416 is 6141414.

It is a super-3 number, since 3×4141416³ (a number of 21 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 4141392 and 4141401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 975 + ... + 3038.

It is an arithmetic number, because the mean of its divisors is an integer number (331155).

Almost surely, 2^4141416 is an apocalyptic number.

It is an amenable number.

4141416 is an abundant number, since it is smaller than the sum of its proper divisors (6455544).

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

4141416 is a wasteful number, since it uses less digits than its factorization.

4141416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4065 (or 4061 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 4141416 is about 2035.0469282058. The cubic root of 4141416 is about 160.5891819078.

It can be divided in two parts, 414 and 1416, that added together give a triangular number (1830 = T₆₀).

The spelling of 4141416 in words is "four million, one hundred forty-one thousand, four hundred sixteen".