4140224928 has 240 divisors, whose sum is σ = 14006805120. Its totient is φ = 1175192064.

The previous prime is 4140224923. The next prime is 4140224941. The reversal of 4140224928 is 8294220414.

4140224928 is a `hidden beast` number, since 4 + 1 + 402 + 249 + 2 + 8 = 666.

4140224928 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4140224892 and 4140224901.

It is not an unprimeable number, because it can be changed into a prime (4140224923) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3138253 + ... + 3139571.

It is an arithmetic number, because the mean of its divisors is an integer number (58361688).

Almost surely, 2^4140224928 is an apocalyptic number.

4140224928 is a gapful number since it is divisible by the number (48) 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 4140224928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7003402560).

4140224928 is an abundant number, since it is smaller than the sum of its proper divisors (9866580192).

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

4140224928 is a wasteful number, since it uses less digits than its factorization.

4140224928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4140224928 is about 64344.5796318540. The cubic root of 4140224928 is about 1605.7378527232.

The spelling of 4140224928 in words is "four billion, one hundred forty million, two hundred twenty-four thousand, nine hundred twenty-eight".