4180141056 has 352 divisors, whose sum is σ = 14452802560. Its totient is φ = 1043103744.

The previous prime is 4180141013. The next prime is 4180141057. The reversal of 4180141056 is 6501410814.

It is not an unprimeable number, because it can be changed into a prime (4180141057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5311095 + ... + 5311881.

Almost surely, 2^4180141056 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 4180141056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7226401280).

4180141056 is an abundant number, since it is smaller than the sum of its proper divisors (10272661504).

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

4180141056 is a wasteful number, since it uses less digits than its factorization.

4180141056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 4180141056 is about 64654.0103628537. The cubic root of 4180141056 is about 1610.8816918800.

It can be divided in two parts, 418014 and 1056, that added together give a triangular number (419070 = T₉₁₅).

The spelling of 4180141056 in words is "four billion, one hundred eighty million, one hundred forty-one thousand, fifty-six".