4135215440 has 40 divisors (see below), whose sum is σ = 9618465480. Its totient is φ = 1653382656.

The previous prime is 4135215431. The next prime is 4135215467. The reversal of 4135215440 is 445125314.

4135215440 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 172764736 + 3962450704 = 13144^2 + 62948^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 204506 + ... + 223814.

It is an arithmetic number, because the mean of its divisors is an integer number (240461637).

Almost surely, 2^4135215440 is an apocalyptic number.

4135215440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4135215440 is an abundant number, since it is smaller than the sum of its proper divisors (5483250040).

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

4135215440 is a wasteful number, since it uses less digits than its factorization.

4135215440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21999 (or 21993 counting only the distinct ones).

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

The square root of 4135215440 is about 64305.6408101187. The cubic root of 4135215440 is about 1605.0899675567.

The spelling of 4135215440 in words is "four billion, one hundred thirty-five million, two hundred fifteen thousand, four hundred forty".