4000365792 has 240 divisors, whose sum is σ = 12815787600. Its totient is φ = 1219276800.

The previous prime is 4000365779. The next prime is 4000365797. The reversal of 4000365792 is 2975630004.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000365797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1426792 + ... + 1429592.

It is an arithmetic number, because the mean of its divisors is an integer number (53399115).

Almost surely, 2^4000365792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000365792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6407893800).

4000365792 is an abundant number, since it is smaller than the sum of its proper divisors (8815421808).

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

4000365792 is a wasteful number, since it uses less digits than its factorization.

4000365792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4000365792 is about 63248.4449769320. Note that the first 3 decimals coincide. The cubic root of 4000365792 is about 1587.4494387104.

Adding to 4000365792 its reverse (2975630004), we get a palindrome (6975995796).

The spelling of 4000365792 in words is "four billion, three hundred sixty-five thousand, seven hundred ninety-two".