4135662440 has 128 divisors (see below), whose sum is σ = 11481039360. Its totient is φ = 1305621504.

The previous prime is 4135662439. The next prime is 4135662469. The reversal of 4135662440 is 442665314.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4135662440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1771514 + ... + 1773846.

It is an arithmetic number, because the mean of its divisors is an integer number (89695620).

Almost surely, 2^4135662440 is an apocalyptic number.

4135662440 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 4135662440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5740519680).

4135662440 is an abundant number, since it is smaller than the sum of its proper divisors (7345376920).

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

4135662440 is a wasteful number, since it uses less digits than its factorization.

4135662440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 4135662440 is about 64309.1163055441. The cubic root of 4135662440 is about 1605.1478000425.

The spelling of 4135662440 in words is "four billion, one hundred thirty-five million, six hundred sixty-two thousand, four hundred forty".