4013509760 has 64 divisors (see below), whose sum is σ = 10332879480. Its totient is φ = 1481908224.

The previous prime is 4013509741. The next prime is 4013509763. The reversal of 4013509760 is 679053104.

It can be written as a sum of positive squares in 4 ways, for example, as 1433682496 + 2579827264 = 37864^2 + 50792^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4013509760² = 32216521187230515200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4013509760.

It is not an unprimeable number, because it can be changed into a prime (4013509763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232877 + ... + 249516.

Almost surely, 2^4013509760 is an apocalyptic number.

4013509760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013509760 is an abundant number, since it is smaller than the sum of its proper divisors (6319369720).

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

4013509760 is a wasteful number, since it uses less digits than its factorization.

4013509760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482425 (or 482413 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 4013509760 is about 63352.2672048917. The cubic root of 4013509760 is about 1589.1861610441.

The spelling of 4013509760 in words is "four billion, thirteen million, five hundred nine thousand, seven hundred sixty".