4075026480 has 480 divisors, whose sum is σ = 16713216000. Its totient is φ = 868589568.

The previous prime is 4075026407. The next prime is 4075026491. The reversal of 4075026480 is 846205704.

4075026480 is a `hidden beast` number, since 4 + 0 + 7 + 5 + 0 + 2 + 648 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17050201 + ... + 17050439.

It is an arithmetic number, because the mean of its divisors is an integer number (34819200).

Almost surely, 2^4075026480 is an apocalyptic number.

4075026480 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 4075026480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8356608000).

4075026480 is an abundant number, since it is smaller than the sum of its proper divisors (12638189520).

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

4075026480 is a wasteful number, since it uses less digits than its factorization.

4075026480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4075026480 is about 63835.9340810487. The cubic root of 4075026480 is about 1597.2643983847.

The spelling of 4075026480 in words is "four billion, seventy-five million, twenty-six thousand, four hundred eighty".