4045382264 has 128 divisors (see below), whose sum is σ = 9990259200. Its totient is φ = 1487808000.

The previous prime is 4045382227. The next prime is 4045382267. The reversal of 4045382264 is 4622835404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4045382267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4926974 + ... + 4927794.

It is an arithmetic number, because the mean of its divisors is an integer number (78048900).

Almost surely, 2^4045382264 is an apocalyptic number.

4045382264 is a gapful number since it is divisible by the number (44) 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 4045382264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4995129600).

4045382264 is an abundant number, since it is smaller than the sum of its proper divisors (5944876936).

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

4045382264 is a wasteful number, since it uses less digits than its factorization.

4045382264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The square root of 4045382264 is about 63603.3195989014. The cubic root of 4045382264 is about 1593.3818114407.

The spelling of 4045382264 in words is "four billion, forty-five million, three hundred eighty-two thousand, two hundred sixty-four".