4045883040 has 384 divisors, whose sum is σ = 15186528000. Its totient is φ = 1002405888.

The previous prime is 4045883027. The next prime is 4045883053. The reversal of 4045883040 is 403885404.

4045883040 is a `hidden beast` number, since 4 + 0 + 4 + 588 + 30 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4045883027) and next prime (4045883053).

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

It is a junction number, because it is equal to n+sod(n) for n = 4045882986 and 4045883004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6535851 + ... + 6536469.

It is an arithmetic number, because the mean of its divisors is an integer number (39548250).

Almost surely, 2^4045883040 is an apocalyptic number.

4045883040 is a gapful number since it is divisible by the number (40) 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 4045883040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7593264000).

4045883040 is an abundant number, since it is smaller than the sum of its proper divisors (11140644960).

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

4045883040 is a wasteful number, since it uses less digits than its factorization.

4045883040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 735 counting only the distinct ones).

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

The square root of 4045883040 is about 63607.2561898405. The cubic root of 4045883040 is about 1593.4475567271.

The spelling of 4045883040 in words is "four billion, forty-five million, eight hundred eighty-three thousand, forty".