4183280640 has 880 divisors, whose sum is σ = 18832137984. Its totient is φ = 862617600.

The previous prime is 4183280611. The next prime is 4183280669. The reversal of 4183280640 is 460823814.

4183280640 is a `hidden beast` number, since 4 + 1 + 8 + 3 + 2 + 8 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (4183280611) and next prime (4183280669).

It is a tau number, because it is divible by the number of its divisors (880).

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 = 4183280595 and 4183280604.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31933375 + ... + 31933505.

Almost surely, 2^4183280640 is an apocalyptic number.

4183280640 is a gapful number since it is divisible by the number (40) 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 4183280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9416068992).

4183280640 is an abundant number, since it is smaller than the sum of its proper divisors (14648857344).

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

4183280640 is a wasteful number, since it uses less digits than its factorization.

4183280640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 159 counting only the distinct ones).

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

The square root of 4183280640 is about 64678.2856915673. The cubic root of 4183280640 is about 1611.2848866259.

The spelling of 4183280640 in words is "four billion, one hundred eighty-three million, two hundred eighty thousand, six hundred forty".