4677441132 has 192 divisors, whose sum is σ = 14306181120. Its totient is φ = 1154248704.

The previous prime is 4677441127. The next prime is 4677441137. The reversal of 4677441132 is 2311447764.

It is an interprime number because it is at equal distance from previous prime (4677441127) and next prime (4677441137).

It is a super-3 number, since 3×4677441132³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is not an unprimeable number, because it can be changed into a prime (4677441137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3656469 + ... + 3657747.

It is an arithmetic number, because the mean of its divisors is an integer number (74511360).

Almost surely, 2^4677441132 is an apocalyptic number.

4677441132 is a gapful number since it is divisible by the number (42) 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 4677441132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7153090560).

4677441132 is an abundant number, since it is smaller than the sum of its proper divisors (9628739988).

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

4677441132 is a wasteful number, since it uses less digits than its factorization.

4677441132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1518 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 4677441132 is about 68391.8206513030. The cubic root of 4677441132 is about 1672.3844089735.

Adding to 4677441132 its reverse (2311447764), we get a palindrome (6988888896).

The spelling of 4677441132 in words is "four billion, six hundred seventy-seven million, four hundred forty-one thousand, one hundred thirty-two".