4153521440 has 48 divisors (see below), whose sum is σ = 9832165560. Its totient is φ = 1658112000.

The previous prime is 4153521439. The next prime is 4153521457. The reversal of 4153521440 is 441253514.

4153521440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4084232464 + 69288976 = 63908^2 + 8324^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55940 + ... + 106940.

Almost surely, 2^4153521440 is an apocalyptic number.

4153521440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4153521440 is an abundant number, since it is smaller than the sum of its proper divisors (5678644120).

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

4153521440 is a wasteful number, since it uses less digits than its factorization.

4153521440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51525 (or 51517 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 4153521440 is about 64447.8195131534. The cubic root of 4153521440 is about 1607.4549814175.

Adding to 4153521440 its reverse (441253514), we get a palindrome (4594774954).

The spelling of 4153521440 in words is "four billion, one hundred fifty-three million, five hundred twenty-one thousand, four hundred forty".