4045016448 has 384 divisors, whose sum is σ = 13918716000. Its totient is φ = 1151631360.

The previous prime is 4045016399. The next prime is 4045016471. The reversal of 4045016448 is 8446105404.

It is a happy number.

4045016448 is a `hidden beast` number, since 4 + 0 + 4 + 5 + 0 + 1 + 644 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7108708 + ... + 7109276.

Almost surely, 2^4045016448 is an apocalyptic number.

4045016448 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 4045016448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6959358000).

4045016448 is an abundant number, since it is smaller than the sum of its proper divisors (9873699552).

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

4045016448 is a wasteful number, since it uses less digits than its factorization.

4045016448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4045016448 is about 63600.4437720367. The cubic root of 4045016448 is about 1593.3337811934. Note that the first 3 decimals are identical.

The spelling of 4045016448 in words is "four billion, forty-five million, sixteen thousand, four hundred forty-eight".