4045491648 has 448 divisors, whose sum is σ = 13825728000. Its totient is φ = 1148313600.

The previous prime is 4045491613. The next prime is 4045491679. The reversal of 4045491648 is 8461945404.

4045491648 is a `hidden beast` number, since 40 + 4 + 549 + 1 + 64 + 8 = 666.

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, 22600423 + ... + 22600601.

It is an arithmetic number, because the mean of its divisors is an integer number (30861000).

Almost surely, 2^4045491648 is an apocalyptic number.

4045491648 is a gapful number since it is divisible by the number (48) 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 4045491648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912864000).

4045491648 is an abundant number, since it is smaller than the sum of its proper divisors (9780236352).

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

4045491648 is a wasteful number, since it uses less digits than its factorization.

4045491648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4045491648 is about 63604.1794853137. The cubic root of 4045491648 is about 1593.3961725808.

The spelling of 4045491648 in words is "four billion, forty-five million, four hundred ninety-one thousand, six hundred forty-eight".