4005213144 has 32 divisors (see below), whose sum is σ = 10336035840. Its totient is φ = 1292004000.

The previous prime is 4005213089. The next prime is 4005213151. The reversal of 4005213144 is 4413125004.

It is a super-4 number, since 4×4005213144⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2690932 + ... + 2692419.

It is an arithmetic number, because the mean of its divisors is an integer number (323001120).

Almost surely, 2^4005213144 is an apocalyptic number.

It is an amenable number.

4005213144 is an abundant number, since it is smaller than the sum of its proper divisors (6330822696).

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

4005213144 is a wasteful number, since it uses less digits than its factorization.

4005213144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5383391 (or 5383387 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4005213144 is about 63286.7533058854. The cubic root of 4005213144 is about 1588.0903651199.

Adding to 4005213144 its reverse (4413125004), we get a palindrome (8418338148).

The spelling of 4005213144 in words is "four billion, five million, two hundred thirteen thousand, one hundred forty-four".