4000771010320 has 160 divisors (see below), whose sum is σ = 11275551175680. Its totient is φ = 1289578268160.

The previous prime is 4000771010293. The next prime is 4000771010321. The reversal of 4000771010320 is 230101770004.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4000771010321) 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 31 ways as a sum of consecutive naturals, for example, 41322 + ... + 2829001.

It is an arithmetic number, because the mean of its divisors is an integer number (70472194848).

Almost surely, 2^{4000771010320} is an apocalyptic number.

4000771010320 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 4000771010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5637775587840).

4000771010320 is an abundant number, since it is smaller than the sum of its proper divisors (7274780165360).

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

4000771010320 is a wasteful number, since it uses less digits than its factorization.

4000771010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870493 (or 2870487 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

Adding to 4000771010320 its reverse (230101770004), we get a palindrome (4230872780324).

The spelling of 4000771010320 in words is "four trillion, seven hundred seventy-one million, ten thousand, three hundred twenty".