4140280224 has 96 divisors (see below), whose sum is σ = 12182970240. Its totient is φ = 1367847936.

The previous prime is 4140280223. The next prime is 4140280229. The reversal of 4140280224 is 4220820414.

4140280224 is a `hidden beast` number, since 414 + 0 + 28 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4140280223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76429 + ... + 118835.

It is an arithmetic number, because the mean of its divisors is an integer number (126905940).

Almost surely, 2^4140280224 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 4140280224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6091485120).

4140280224 is an abundant number, since it is smaller than the sum of its proper divisors (8042690016).

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

4140280224 is a wasteful number, since it uses less digits than its factorization.

4140280224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42539 (or 42525 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 4140280224 is about 64345.0093169626. The cubic root of 4140280224 is about 1605.7450013272.

The spelling of 4140280224 in words is "four billion, one hundred forty million, two hundred eighty thousand, two hundred twenty-four".