4075505280 has 640 divisors, whose sum is σ = 18163474560. Its totient is φ = 846028800.

The previous prime is 4075505261. The next prime is 4075505297. The reversal of 4075505280 is 825055704.

It is a happy number.

4075505280 is a `hidden beast` number, since 4 + 0 + 75 + 505 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3991170 + ... + 3992190.

It is an arithmetic number, because the mean of its divisors is an integer number (28380429).

Almost surely, 2^4075505280 is an apocalyptic number.

4075505280 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 4075505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9081737280).

4075505280 is an abundant number, since it is smaller than the sum of its proper divisors (14087969280).

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

4075505280 is a wasteful number, since it uses less digits than its factorization.

4075505280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 4075505280 is about 63839.6842097453. The cubic root of 4075505280 is about 1597.3269534173.

The spelling of 4075505280 in words is "four billion, seventy-five million, five hundred five thousand, two hundred eighty".