4644096040 has 64 divisors (see below), whose sum is σ = 11074870800. Its totient is φ = 1746628608.

The previous prime is 4644096029. The next prime is 4644096059. The reversal of 4644096040 is 406904464.

It can be written as a sum of positive squares in 8 ways, for example, as 4596568804 + 47527236 = 67798^2 + 6894^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 832942 + ... + 838498.

Almost surely, 2^4644096040 is an apocalyptic number.

4644096040 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 4644096040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5537435400).

4644096040 is an abundant number, since it is smaller than the sum of its proper divisors (6430774760).

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

4644096040 is a wasteful number, since it uses less digits than its factorization.

4644096040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6814 (or 6810 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 4644096040 is about 68147.6048001689. The cubic root of 4644096040 is about 1668.4008308900.

The spelling of 4644096040 in words is "four billion, six hundred forty-four million, ninety-six thousand, forty".