4406181381 has 60 divisors (see below), whose sum is σ = 7920928620. Its totient is φ = 2430933120.

The previous prime is 4406181361. The next prime is 4406181401. The reversal of 4406181381 is 1831816044.

It is a happy number.

4406181381 is a `hidden beast` number, since 4 + 4 + 0 + 618 + 1 + 38 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (4406181361) and next prime (4406181401).

It can be written as a sum of positive squares in 2 ways, for example, as 3529429281 + 876752100 = 59409^2 + 29610^2 .

It is not a de Polignac number, because 4406181381 - 2⁵ = 4406181349 is a prime.

It is a super-2 number, since 2×4406181381² = 38828868724542134322, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4406181361) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 95961 + ... + 134241.

It is an arithmetic number, because the mean of its divisors is an integer number (132015477).

Almost surely, 2^4406181381 is an apocalyptic number.

It is an amenable number.

4406181381 is a deficient number, since it is larger than the sum of its proper divisors (3514747239).

4406181381 is a wasteful number, since it uses less digits than its factorization.

4406181381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38336 (or 38320 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4406181381 is about 66379.0733665362. The cubic root of 4406181381 is about 1639.4095362210.

The spelling of 4406181381 in words is "four billion, four hundred six million, one hundred eighty-one thousand, three hundred eighty-one".