4030440960 has 640 divisors, whose sum is σ = 16278958080. Its totient is φ = 828112896.

The previous prime is 4030440943. The next prime is 4030440977. The reversal of 4030440960 is 690440304.

It is an interprime number because it is at equal distance from previous prime (4030440943) and next prime (4030440977).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-4 number, since 4×4030440960⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 51018201 + ... + 51018279.

It is an arithmetic number, because the mean of its divisors is an integer number (25435872).

Almost surely, 2^4030440960 is an apocalyptic number.

4030440960 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 4030440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8139479040).

4030440960 is an abundant number, since it is smaller than the sum of its proper divisors (12248517120).

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

4030440960 is a wasteful number, since it uses less digits than its factorization.

4030440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 4030440960 is about 63485.7539925297. The cubic root of 4030440960 is about 1591.4177142073.

The spelling of 4030440960 in words is "four billion, thirty million, four hundred forty thousand, nine hundred sixty".