4490029440 has 384 divisors, whose sum is σ = 16988287680. Its totient is φ = 1086013440.

The previous prime is 4490029417. The next prime is 4490029463. The reversal of 4490029440 is 449200944.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4490029417) and next prime (4490029463).

It is a tau number, because it is divible by the number of its divisors (384).

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 = 4490029395 and 4490029404.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4567189 + ... + 4568171.

Almost surely, 2^4490029440 is an apocalyptic number.

4490029440 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 4490029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8494143840).

4490029440 is an abundant number, since it is smaller than the sum of its proper divisors (12498258240).

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

4490029440 is a wasteful number, since it uses less digits than its factorization.

4490029440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4490029440 is about 67007.6819476693. The cubic root of 4490029440 is about 1649.7433870901.

The spelling of 4490029440 in words is "four billion, four hundred ninety million, twenty-nine thousand, four hundred forty".