4426583040 has 704 divisors, whose sum is σ = 17827568640. Its totient is φ = 1032192000.

The previous prime is 4426583027. The next prime is 4426583041. The reversal of 4426583040 is 403856244.

It is a tau number, because it is divible by the number of its divisors (704).

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 = 4426582986 and 4426583004.

It is not an unprimeable number, because it can be changed into a prime (4426583041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62346205 + ... + 62346275.

Almost surely, 2^4426583040 is an apocalyptic number.

4426583040 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 4426583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8913784320).

4426583040 is an abundant number, since it is smaller than the sum of its proper divisors (13400985600).

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

4426583040 is a wasteful number, since it uses less digits than its factorization.

4426583040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4426583040 is about 66532.5712715208. The cubic root of 4426583040 is about 1641.9359252350.

The spelling of 4426583040 in words is "four billion, four hundred twenty-six million, five hundred eighty-three thousand, forty".