4009528380 has 288 divisors, whose sum is σ = 13428979200. Its totient is φ = 885980160.

The previous prime is 4009528379. The next prime is 4009528381. The reversal of 4009528380 is 838259004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4009528379) and next prime (4009528381).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4009528381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11488446 + ... + 11488794.

It is an arithmetic number, because the mean of its divisors is an integer number (46628400).

Almost surely, 2^4009528380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4009528380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6714489600).

4009528380 is an abundant number, since it is smaller than the sum of its proper divisors (9419450820).

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

4009528380 is a wasteful number, since it uses less digits than its factorization.

4009528380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 4009528380 is about 63320.8368548616. The cubic root of 4009528380 is about 1588.6604991590.

The spelling of 4009528380 in words is "four billion, nine million, five hundred twenty-eight thousand, three hundred eighty".