4141122432 has 128 divisors (see below), whose sum is σ = 11168388000. Its totient is φ = 1359421440.

The previous prime is 4141122431. The next prime is 4141122457. The reversal of 4141122432 is 2342211414.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141122431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8982682 + ... + 8983142.

Almost surely, 2^4141122432 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 4141122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5584194000).

4141122432 is an abundant number, since it is smaller than the sum of its proper divisors (7027265568).

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

4141122432 is a wasteful number, since it uses less digits than its factorization.

4141122432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 772 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 4141122432 is about 64351.5534544427. The cubic root of 4141122432 is about 1605.8538731526.

Adding to 4141122432 its reverse (2342211414), we get a palindrome (6483333846).

The spelling of 4141122432 in words is "four billion, one hundred forty-one million, one hundred twenty-two thousand, four hundred thirty-two".