4005440145 has 128 divisors (see below), whose sum is σ = 8309145600. Its totient is φ = 1793021184.

The previous prime is 4005440129. The next prime is 4005440177. The reversal of 4005440145 is 5410445004.

It is not a de Polignac number, because 4005440145 - 2⁴ = 4005440129 is a prime.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17490891 + ... + 17491119.

It is an arithmetic number, because the mean of its divisors is an integer number (64915200).

Almost surely, 2^4005440145 is an apocalyptic number.

4005440145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4005440145 is an abundant number, since it is smaller than the sum of its proper divisors (4303705455).

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

4005440145 is a wasteful number, since it uses less digits than its factorization.

4005440145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 4005440145 is about 63288.5467126557. The cubic root of 4005440145 is about 1588.1203669599.

Adding to 4005440145 its reverse (5410445004), we get a palindrome (9415885149).

The spelling of 4005440145 in words is "four billion, five million, four hundred forty thousand, one hundred forty-five".