4005153405 has 32 divisors (see below), whose sum is σ = 7767573120. Its totient is φ = 1941891840.

The previous prime is 4005153391. The next prime is 4005153479. The reversal of 4005153405 is 5043515004.

It is not a de Polignac number, because 4005153405 - 2⁴ = 4005153389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 1347052 + ... + 1350021.

It is an arithmetic number, because the mean of its divisors is an integer number (242736660).

Almost surely, 2^4005153405 is an apocalyptic number.

4005153405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4005153405 is a deficient number, since it is larger than the sum of its proper divisors (3762419715).

4005153405 is a wasteful number, since it uses less digits than its factorization.

4005153405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697098 (or 2697092 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 4005153405 is about 63286.2813333190. The cubic root of 4005153405 is about 1588.0824694601.

Adding to 4005153405 its reverse (5043515004), we get a palindrome (9048668409).

The spelling of 4005153405 in words is "four billion, five million, one hundred fifty-three thousand, four hundred five".