4524085440 has 896 divisors, whose sum is σ = 19975372800. Its totient is φ = 940584960.

The previous prime is 4524085381. The next prime is 4524085451. The reversal of 4524085440 is 445804254.

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 = 4524085395 and 4524085404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35622657 + ... + 35622783.

Almost surely, 2^4524085440 is an apocalyptic number.

4524085440 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 4524085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9987686400).

4524085440 is an abundant number, since it is smaller than the sum of its proper divisors (15451287360).

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

4524085440 is a wasteful number, since it uses less digits than its factorization.

4524085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 4524085440 is about 67261.3220209059. The cubic root of 4524085440 is about 1653.9038801490.

Adding to 4524085440 its reverse (445804254), we get a palindrome (4969889694).

The spelling of 4524085440 in words is "four billion, five hundred twenty-four million, eighty-five thousand, four hundred forty".