411125616 has 120 divisors (see below), whose sum is σ = 1261054704. Its totient is φ = 124001280.

The previous prime is 411125579. The next prime is 411125639. The reversal of 411125616 is 616521114.

411125616 is a `hidden beast` number, since 41 + 1 + 1 + 2 + 5 + 616 = 666.

It is a super-3 number, since 3×411125616³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 411125616.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438300 + ... + 439236.

Almost surely, 2^411125616 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 411125616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630527352).

411125616 is an abundant number, since it is smaller than the sum of its proper divisors (849929088).

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

411125616 is a wasteful number, since it uses less digits than its factorization.

411125616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1230 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 411125616 is about 20276.2327861958. The cubic root of 411125616 is about 743.5751129321.

It can be divided in two parts, 41112561 and 6, that multiplied together give a triangular number (246675366 = T₂₂₂₁₁).

The spelling of 411125616 in words is "four hundred eleven million, one hundred twenty-five thousand, six hundred sixteen".