4045759488 has 264 divisors, whose sum is σ = 12338988480. Its totient is φ = 1323786240.

The previous prime is 4045759469. The next prime is 4045759493. The reversal of 4045759488 is 8849575404.

It is a happy number.

4045759488 is a `hidden beast` number, since 4 + 0 + 45 + 7 + 594 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 17666958 + ... + 17667186.

Almost surely, 2^4045759488 is an apocalyptic number.

4045759488 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 4045759488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6169494240).

4045759488 is an abundant number, since it is smaller than the sum of its proper divisors (8293228992).

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

4045759488 is an equidigital number, since it uses as much as digits as its factorization.

4045759488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The square root of 4045759488 is about 63606.2849724774. The cubic root of 4045759488 is about 1593.4313364826.

The spelling of 4045759488 in words is "four billion, forty-five million, seven hundred fifty-nine thousand, four hundred eighty-eight".