4417661040 has 160 divisors (see below), whose sum is σ = 14935710720. Its totient is φ = 1073599488.

The previous prime is 4417661023. The next prime is 4417661041. The reversal of 4417661040 is 401667144.

It is a junction number, because it is equal to n+sod(n) for n = 4417660992 and 4417661010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4417661041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 237519 + ... + 255441.

It is an arithmetic number, because the mean of its divisors is an integer number (93348192).

Almost surely, 2^4417661040 is an apocalyptic number.

4417661040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4417661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7467855360).

4417661040 is an abundant number, since it is smaller than the sum of its proper divisors (10518049680).

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

4417661040 is a wasteful number, since it uses less digits than its factorization.

4417661040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18031 (or 18025 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 4417661040 is about 66465.4875856636. The cubic root of 4417661040 is about 1640.8320485431.

The spelling of 4417661040 in words is "four billion, four hundred seventeen million, six hundred sixty-one thousand, forty".