4294883040 has 384 divisors, whose sum is σ = 16050908160. Its totient is φ = 944898048.

The previous prime is 4294883039. The next prime is 4294883041. The reversal of 4294883040 is 403884924.

It is an interprime number because it is at equal distance from previous prime (4294883039) and next prime (4294883041).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4294882983 and 4294883001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4294883041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22253184 + ... + 22253376.

It is an arithmetic number, because the mean of its divisors is an integer number (41799240).

Almost surely, 2^4294883040 is an apocalyptic number.

4294883040 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 4294883040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8025454080).

4294883040 is an abundant number, since it is smaller than the sum of its proper divisors (11756025120).

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

4294883040 is a wasteful number, since it uses less digits than its factorization.

4294883040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 4294883040 is about 65535.3571745817. The cubic root of 4294883040 is about 1625.4880478049.

The spelling of 4294883040 in words is "four billion, two hundred ninety-four million, eight hundred eighty-three thousand, forty".