4000771104 has 144 divisors (see below), whose sum is σ = 11619863136. Its totient is φ = 1204346880.

The previous prime is 4000771069. The next prime is 4000771147. The reversal of 4000771104 is 4011770004.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1892352 + ... + 1894464.

It is an arithmetic number, because the mean of its divisors is an integer number (80693494).

Almost surely, 2^4000771104 is an apocalyptic number.

4000771104 is a gapful number since it is divisible by the number (44) 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 4000771104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809931568).

4000771104 is an abundant number, since it is smaller than the sum of its proper divisors (7619092032).

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

4000771104 is a wasteful number, since it uses less digits than its factorization.

4000771104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 4000771104 is about 63251.6490219820. The cubic root of 4000771104 is about 1587.5030496893.

It can be divided in two parts, 40007 and 71104, that added together give a palindrome (111111).

The spelling of 4000771104 in words is "four billion, seven hundred seventy-one thousand, one hundred four".